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Finding the Fourth Proportional to 771.69, 1,062.63 and 661.08

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Solution

The fourth proportional to 771.69, 1,062.63 and 661.08 is: 910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.69 : 1,062.63 = 661.08 : x
  2. Step 2: Convert to fraction form
    771.69/1,062.63 = 661.08/x
  3. Step 3: Cross multiply
    771.69x = 1,062.63 × 661.08
  4. Step 4: Simplify right side
    771.69x = 702,483.44
  5. Step 5: Solve for x
    x = 702,483.44/771.69
  6. Step 6: Final answer
    x = 910.32

Related Problems

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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.