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Finding the Fourth Proportional to 1,153.74, 1,731.15 and 537.87

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Solution

The fourth proportional to 1,153.74, 1,731.15 and 537.87 is: 807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.74 : 1,731.15 = 537.87 : x
  2. Step 2: Convert to fraction form
    1,153.74/1,731.15 = 537.87/x
  3. Step 3: Cross multiply
    1,153.74x = 1,731.15 × 537.87
  4. Step 4: Simplify right side
    1,153.74x = 931,133.65
  5. Step 5: Solve for x
    x = 931,133.65/1,153.74
  6. Step 6: Final answer
    x = 807.06

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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.