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Finding the Fourth Proportional to 1,125.76, 1,553.57 and 647.29

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Solution

The fourth proportional to 1,125.76, 1,553.57 and 647.29 is: 893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.76 : 1,553.57 = 647.29 : x
  2. Step 2: Convert to fraction form
    1,125.76/1,553.57 = 647.29/x
  3. Step 3: Cross multiply
    1,125.76x = 1,553.57 × 647.29
  4. Step 4: Simplify right side
    1,125.76x = 1,005,609.03
  5. Step 5: Solve for x
    x = 1,005,609.03/1,125.76
  6. Step 6: Final answer
    x = 893.27

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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.