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Finding the Fourth Proportional to 772.52, 1,066.10 and 492.76

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Solution

The fourth proportional to 772.52, 1,066.10 and 492.76 is: 680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.52 : 1,066.10 = 492.76 : x
  2. Step 2: Convert to fraction form
    772.52/1,066.10 = 492.76/x
  3. Step 3: Cross multiply
    772.52x = 1,066.10 × 492.76
  4. Step 4: Simplify right side
    772.52x = 525,331.44
  5. Step 5: Solve for x
    x = 525,331.44/772.52
  6. Step 6: Final answer
    x = 680.02

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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.