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Finding the Fourth Proportional to 1,073.13, 1,610.46 and 553.54

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Solution

The fourth proportional to 1,073.13, 1,610.46 and 553.54 is: 830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.13 : 1,610.46 = 553.54 : x
  2. Step 2: Convert to fraction form
    1,073.13/1,610.46 = 553.54/x
  3. Step 3: Cross multiply
    1,073.13x = 1,610.46 × 553.54
  4. Step 4: Simplify right side
    1,073.13x = 891,454.03
  5. Step 5: Solve for x
    x = 891,454.03/1,073.13
  6. Step 6: Final answer
    x = 830.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.