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Finding the Fourth Proportional to 1,098.79, 1,646.36 and 773.47

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Solution

The fourth proportional to 1,098.79, 1,646.36 and 773.47 is: 1,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.79 : 1,646.36 = 773.47 : x
  2. Step 2: Convert to fraction form
    1,098.79/1,646.36 = 773.47/x
  3. Step 3: Cross multiply
    1,098.79x = 1,646.36 × 773.47
  4. Step 4: Simplify right side
    1,098.79x = 1,273,411.16
  5. Step 5: Solve for x
    x = 1,273,411.16/1,098.79
  6. Step 6: Final answer
    x = 1,158.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.