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Finding the Fourth Proportional to 750.24, 1,125.36 and 384.78

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Solution

The fourth proportional to 750.24, 1,125.36 and 384.78 is: 577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.24 : 1,125.36 = 384.78 : x
  2. Step 2: Convert to fraction form
    750.24/1,125.36 = 384.78/x
  3. Step 3: Cross multiply
    750.24x = 1,125.36 × 384.78
  4. Step 4: Simplify right side
    750.24x = 433,016.02
  5. Step 5: Solve for x
    x = 433,016.02/750.24
  6. Step 6: Final answer
    x = 577.17

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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.