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Finding the Fourth Proportional to 1,002.92, 1,384.98 and 654.44

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Solution

The fourth proportional to 1,002.92, 1,384.98 and 654.44 is: 903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.92 : 1,384.98 = 654.44 : x
  2. Step 2: Convert to fraction form
    1,002.92/1,384.98 = 654.44/x
  3. Step 3: Cross multiply
    1,002.92x = 1,384.98 × 654.44
  4. Step 4: Simplify right side
    1,002.92x = 906,386.31
  5. Step 5: Solve for x
    x = 906,386.31/1,002.92
  6. Step 6: Final answer
    x = 903.75

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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.