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Finding the Fourth Proportional to 1,073.81, 1,610.90 and 560.81

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Solution

The fourth proportional to 1,073.81, 1,610.90 and 560.81 is: 841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.81 : 1,610.90 = 560.81 : x
  2. Step 2: Convert to fraction form
    1,073.81/1,610.90 = 560.81/x
  3. Step 3: Cross multiply
    1,073.81x = 1,610.90 × 560.81
  4. Step 4: Simplify right side
    1,073.81x = 903,412.16
  5. Step 5: Solve for x
    x = 903,412.16/1,073.81
  6. Step 6: Final answer
    x = 841.31

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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.