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Finding the Fourth Proportional to 1,208.76, 1,669.13 and 767.45

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Solution

The fourth proportional to 1,208.76, 1,669.13 and 767.45 is: 1,059.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.76 : 1,669.13 = 767.45 : x
  2. Step 2: Convert to fraction form
    1,208.76/1,669.13 = 767.45/x
  3. Step 3: Cross multiply
    1,208.76x = 1,669.13 × 767.45
  4. Step 4: Simplify right side
    1,208.76x = 1,280,973.82
  5. Step 5: Solve for x
    x = 1,280,973.82/1,208.76
  6. Step 6: Final answer
    x = 1,059.74

Related Problems

Find fourth proportional to 604.38, 834.57 and 383.73
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.