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Finding the Fourth Proportional to 1,130.73, 1,560.47 and 737.74

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Solution

The fourth proportional to 1,130.73, 1,560.47 and 737.74 is: 1,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.73 : 1,560.47 = 737.74 : x
  2. Step 2: Convert to fraction form
    1,130.73/1,560.47 = 737.74/x
  3. Step 3: Cross multiply
    1,130.73x = 1,560.47 × 737.74
  4. Step 4: Simplify right side
    1,130.73x = 1,151,223.55
  5. Step 5: Solve for x
    x = 1,151,223.55/1,130.73
  6. Step 6: Final answer
    x = 1,018.13

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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.