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Finding the Fourth Proportional to 750.67, 1,126.29 and 317.71

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Solution

The fourth proportional to 750.67, 1,126.29 and 317.71 is: 476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.67 : 1,126.29 = 317.71 : x
  2. Step 2: Convert to fraction form
    750.67/1,126.29 = 317.71/x
  3. Step 3: Cross multiply
    750.67x = 1,126.29 × 317.71
  4. Step 4: Simplify right side
    750.67x = 357,833.60
  5. Step 5: Solve for x
    x = 357,833.60/750.67
  6. Step 6: Final answer
    x = 476.69

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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.