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Finding the Fourth Proportional to 738.90, 1,106.38 and 391.52

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Solution

The fourth proportional to 738.90, 1,106.38 and 391.52 is: 586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.90 : 1,106.38 = 391.52 : x
  2. Step 2: Convert to fraction form
    738.90/1,106.38 = 391.52/x
  3. Step 3: Cross multiply
    738.90x = 1,106.38 × 391.52
  4. Step 4: Simplify right side
    738.90x = 433,169.90
  5. Step 5: Solve for x
    x = 433,169.90/738.90
  6. Step 6: Final answer
    x = 586.24

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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.