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Finding the Fourth Proportional to 796.47, 1,098.66 and 560.76

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Solution

The fourth proportional to 796.47, 1,098.66 and 560.76 is: 773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.47 : 1,098.66 = 560.76 : x
  2. Step 2: Convert to fraction form
    796.47/1,098.66 = 560.76/x
  3. Step 3: Cross multiply
    796.47x = 1,098.66 × 560.76
  4. Step 4: Simplify right side
    796.47x = 616,084.58
  5. Step 5: Solve for x
    x = 616,084.58/796.47
  6. Step 6: Final answer
    x = 773.52

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Double scale
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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.