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Finding the Fourth Proportional to 1,002.74, 1,382.52 and 648.06

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Solution

The fourth proportional to 1,002.74, 1,382.52 and 648.06 is: 893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.74 : 1,382.52 = 648.06 : x
  2. Step 2: Convert to fraction form
    1,002.74/1,382.52 = 648.06/x
  3. Step 3: Cross multiply
    1,002.74x = 1,382.52 × 648.06
  4. Step 4: Simplify right side
    1,002.74x = 895,952.67
  5. Step 5: Solve for x
    x = 895,952.67/1,002.74
  6. Step 6: Final answer
    x = 893.50

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