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Finding the Fourth Proportional to 751.64, 1,127.31 and 289.26

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Solution

The fourth proportional to 751.64, 1,127.31 and 289.26 is: 433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.64 : 1,127.31 = 289.26 : x
  2. Step 2: Convert to fraction form
    751.64/1,127.31 = 289.26/x
  3. Step 3: Cross multiply
    751.64x = 1,127.31 × 289.26
  4. Step 4: Simplify right side
    751.64x = 326,084.61
  5. Step 5: Solve for x
    x = 326,084.61/751.64
  6. Step 6: Final answer
    x = 433.83

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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.