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Finding the Fourth Proportional to 1,044.03, 1,565.73 and 654.63

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Solution

The fourth proportional to 1,044.03, 1,565.73 and 654.63 is: 981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.03 : 1,565.73 = 654.63 : x
  2. Step 2: Convert to fraction form
    1,044.03/1,565.73 = 654.63/x
  3. Step 3: Cross multiply
    1,044.03x = 1,565.73 × 654.63
  4. Step 4: Simplify right side
    1,044.03x = 1,024,966.00
  5. Step 5: Solve for x
    x = 1,024,966.00/1,044.03
  6. Step 6: Final answer
    x = 981.74

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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.