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Finding the Fourth Proportional to 1,155.22, 1,731.34 and 423.93

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Solution

The fourth proportional to 1,155.22, 1,731.34 and 423.93 is: 635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.22 : 1,731.34 = 423.93 : x
  2. Step 2: Convert to fraction form
    1,155.22/1,731.34 = 423.93/x
  3. Step 3: Cross multiply
    1,155.22x = 1,731.34 × 423.93
  4. Step 4: Simplify right side
    1,155.22x = 733,966.97
  5. Step 5: Solve for x
    x = 733,966.97/1,155.22
  6. Step 6: Final answer
    x = 635.35

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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.