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Finding the Fourth Proportional to 1,156.31, 1,733.40 and 425.69

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Solution

The fourth proportional to 1,156.31, 1,733.40 and 425.69 is: 638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.31 : 1,733.40 = 425.69 : x
  2. Step 2: Convert to fraction form
    1,156.31/1,733.40 = 425.69/x
  3. Step 3: Cross multiply
    1,156.31x = 1,733.40 × 425.69
  4. Step 4: Simplify right side
    1,156.31x = 737,888.88
  5. Step 5: Solve for x
    x = 737,888.88/1,156.31
  6. Step 6: Final answer
    x = 638.14

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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.