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Finding the Fourth Proportional to 750.72, 1,124.63 and 385.76

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Solution

The fourth proportional to 750.72, 1,124.63 and 385.76 is: 577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.72 : 1,124.63 = 385.76 : x
  2. Step 2: Convert to fraction form
    750.72/1,124.63 = 385.76/x
  3. Step 3: Cross multiply
    750.72x = 1,124.63 × 385.76
  4. Step 4: Simplify right side
    750.72x = 433,841.77
  5. Step 5: Solve for x
    x = 433,841.77/750.72
  6. Step 6: Final answer
    x = 577.90

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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.