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Finding the Fourth Proportional to 750.12, 1,125.25 and 288.28

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Solution

The fourth proportional to 750.12, 1,125.25 and 288.28 is: 432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.12 : 1,125.25 = 288.28 : x
  2. Step 2: Convert to fraction form
    750.12/1,125.25 = 288.28/x
  3. Step 3: Cross multiply
    750.12x = 1,125.25 × 288.28
  4. Step 4: Simplify right side
    750.12x = 324,387.76
  5. Step 5: Solve for x
    x = 324,387.76/750.12
  6. Step 6: Final answer
    x = 432.45

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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.