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Finding the Fourth Proportional to 1,002.53, 1,382.24 and 753.05

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Solution

The fourth proportional to 1,002.53, 1,382.24 and 753.05 is: 1,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.53 : 1,382.24 = 753.05 : x
  2. Step 2: Convert to fraction form
    1,002.53/1,382.24 = 753.05/x
  3. Step 3: Cross multiply
    1,002.53x = 1,382.24 × 753.05
  4. Step 4: Simplify right side
    1,002.53x = 1,040,885.16
  5. Step 5: Solve for x
    x = 1,040,885.16/1,002.53
  6. Step 6: Final answer
    x = 1,038.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.