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Finding the Fourth Proportional to 750.84, 1,125.69 and 458.43

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Solution

The fourth proportional to 750.84, 1,125.69 and 458.43 is: 687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.84 : 1,125.69 = 458.43 : x
  2. Step 2: Convert to fraction form
    750.84/1,125.69 = 458.43/x
  3. Step 3: Cross multiply
    750.84x = 1,125.69 × 458.43
  4. Step 4: Simplify right side
    750.84x = 516,050.07
  5. Step 5: Solve for x
    x = 516,050.07/750.84
  6. Step 6: Final answer
    x = 687.30

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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.