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Finding the Fourth Proportional to 1,156.59, 1,733.67 and 425.70

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Solution

The fourth proportional to 1,156.59, 1,733.67 and 425.70 is: 638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.59 : 1,733.67 = 425.70 : x
  2. Step 2: Convert to fraction form
    1,156.59/1,733.67 = 425.70/x
  3. Step 3: Cross multiply
    1,156.59x = 1,733.67 × 425.70
  4. Step 4: Simplify right side
    1,156.59x = 738,023.32
  5. Step 5: Solve for x
    x = 738,023.32/1,156.59
  6. Step 6: Final answer
    x = 638.10

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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.