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Finding the Fourth Proportional to 1,732.64, 2,598.03 and 757.61

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Solution

The fourth proportional to 1,732.64, 2,598.03 and 757.61 is: 1,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.64 : 2,598.03 = 757.61 : x
  2. Step 2: Convert to fraction form
    1,732.64/2,598.03 = 757.61/x
  3. Step 3: Cross multiply
    1,732.64x = 2,598.03 × 757.61
  4. Step 4: Simplify right side
    1,732.64x = 1,968,280.52
  5. Step 5: Solve for x
    x = 1,968,280.52/1,732.64
  6. Step 6: Final answer
    x = 1,136.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.