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Finding the Fourth Proportional to 761.40, 1,142.07 and 452.57

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Solution

The fourth proportional to 761.40, 1,142.07 and 452.57 is: 678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.40 : 1,142.07 = 452.57 : x
  2. Step 2: Convert to fraction form
    761.40/1,142.07 = 452.57/x
  3. Step 3: Cross multiply
    761.40x = 1,142.07 × 452.57
  4. Step 4: Simplify right side
    761.40x = 516,867.13
  5. Step 5: Solve for x
    x = 516,867.13/761.40
  6. Step 6: Final answer
    x = 678.84

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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.