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Finding the Fourth Proportional to 1,193.84, 1,646.58 and 879

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Solution

The fourth proportional to 1,193.84, 1,646.58 and 879 is: 1,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.84 : 1,646.58 = 879 : x
  2. Step 2: Convert to fraction form
    1,193.84/1,646.58 = 879/x
  3. Step 3: Cross multiply
    1,193.84x = 1,646.58 × 879
  4. Step 4: Simplify right side
    1,193.84x = 1,447,343.82
  5. Step 5: Solve for x
    x = 1,447,343.82/1,193.84
  6. Step 6: Final answer
    x = 1,212.34

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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.