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Finding the Fourth Proportional to 1,042.53, 1,563.57 and 457.71

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Solution

The fourth proportional to 1,042.53, 1,563.57 and 457.71 is: 686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.53 : 1,563.57 = 457.71 : x
  2. Step 2: Convert to fraction form
    1,042.53/1,563.57 = 457.71/x
  3. Step 3: Cross multiply
    1,042.53x = 1,563.57 × 457.71
  4. Step 4: Simplify right side
    1,042.53x = 715,661.62
  5. Step 5: Solve for x
    x = 715,661.62/1,042.53
  6. Step 6: Final answer
    x = 686.47

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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.