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Finding the Fourth Proportional to 1,155.88, 1,734.45 and 425.35

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Solution

The fourth proportional to 1,155.88, 1,734.45 and 425.35 is: 638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.88 : 1,734.45 = 425.35 : x
  2. Step 2: Convert to fraction form
    1,155.88/1,734.45 = 425.35/x
  3. Step 3: Cross multiply
    1,155.88x = 1,734.45 × 425.35
  4. Step 4: Simplify right side
    1,155.88x = 737,751.27
  5. Step 5: Solve for x
    x = 737,751.27/1,155.88
  6. Step 6: Final answer
    x = 638.26

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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.