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Finding the Fourth Proportional to 1,142.07, 1,712.97 and 484.20

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Solution

The fourth proportional to 1,142.07, 1,712.97 and 484.20 is: 726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.07 : 1,712.97 = 484.20 : x
  2. Step 2: Convert to fraction form
    1,142.07/1,712.97 = 484.20/x
  3. Step 3: Cross multiply
    1,142.07x = 1,712.97 × 484.20
  4. Step 4: Simplify right side
    1,142.07x = 829,420.07
  5. Step 5: Solve for x
    x = 829,420.07/1,142.07
  6. Step 6: Final answer
    x = 726.24

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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.