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Finding the Fourth Proportional to 761.01, 1,140.17 and 501.54

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Solution

The fourth proportional to 761.01, 1,140.17 and 501.54 is: 751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.01 : 1,140.17 = 501.54 : x
  2. Step 2: Convert to fraction form
    761.01/1,140.17 = 501.54/x
  3. Step 3: Cross multiply
    761.01x = 1,140.17 × 501.54
  4. Step 4: Simplify right side
    761.01x = 571,838.35
  5. Step 5: Solve for x
    x = 571,838.35/761.01
  6. Step 6: Final answer
    x = 751.42

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