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Finding the Fourth Proportional to 738.89, 1,019.14 and 458.83

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Solution

The fourth proportional to 738.89, 1,019.14 and 458.83 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.89 : 1,019.14 = 458.83 : x
  2. Step 2: Convert to fraction form
    738.89/1,019.14 = 458.83/x
  3. Step 3: Cross multiply
    738.89x = 1,019.14 × 458.83
  4. Step 4: Simplify right side
    738.89x = 467,612.01
  5. Step 5: Solve for x
    x = 467,612.01/738.89
  6. Step 6: Final answer
    x = 632.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.