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Finding the Fourth Proportional to 750.45, 1,125.27 and 256.71

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Solution

The fourth proportional to 750.45, 1,125.27 and 256.71 is: 384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.45 : 1,125.27 = 256.71 : x
  2. Step 2: Convert to fraction form
    750.45/1,125.27 = 256.71/x
  3. Step 3: Cross multiply
    750.45x = 1,125.27 × 256.71
  4. Step 4: Simplify right side
    750.45x = 288,868.06
  5. Step 5: Solve for x
    x = 288,868.06/750.45
  6. Step 6: Final answer
    x = 384.93

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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.