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Finding the Fourth Proportional to 750.71, 1,125.02 and 384.73

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Solution

The fourth proportional to 750.71, 1,125.02 and 384.73 is: 576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.71 : 1,125.02 = 384.73 : x
  2. Step 2: Convert to fraction form
    750.71/1,125.02 = 384.73/x
  3. Step 3: Cross multiply
    750.71x = 1,125.02 × 384.73
  4. Step 4: Simplify right side
    750.71x = 432,828.94
  5. Step 5: Solve for x
    x = 432,828.94/750.71
  6. Step 6: Final answer
    x = 576.56

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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.