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Finding the Fourth Proportional to 1,156.10, 1,734.78 and 425.57

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Solution

The fourth proportional to 1,156.10, 1,734.78 and 425.57 is: 638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.10 : 1,734.78 = 425.57 : x
  2. Step 2: Convert to fraction form
    1,156.10/1,734.78 = 425.57/x
  3. Step 3: Cross multiply
    1,156.10x = 1,734.78 × 425.57
  4. Step 4: Simplify right side
    1,156.10x = 738,270.32
  5. Step 5: Solve for x
    x = 738,270.32/1,156.10
  6. Step 6: Final answer
    x = 638.59

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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.