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Finding the Fourth Proportional to 750.22, 1,124.80 and 288.02

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Solution

The fourth proportional to 750.22, 1,124.80 and 288.02 is: 431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.22 : 1,124.80 = 288.02 : x
  2. Step 2: Convert to fraction form
    750.22/1,124.80 = 288.02/x
  3. Step 3: Cross multiply
    750.22x = 1,124.80 × 288.02
  4. Step 4: Simplify right side
    750.22x = 323,964.90
  5. Step 5: Solve for x
    x = 323,964.90/750.22
  6. Step 6: Final answer
    x = 431.83

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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.