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Finding the Fourth Proportional to 1,033.17, 1,425.78 and 561.06

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Solution

The fourth proportional to 1,033.17, 1,425.78 and 561.06 is: 774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.17 : 1,425.78 = 561.06 : x
  2. Step 2: Convert to fraction form
    1,033.17/1,425.78 = 561.06/x
  3. Step 3: Cross multiply
    1,033.17x = 1,425.78 × 561.06
  4. Step 4: Simplify right side
    1,033.17x = 799,948.13
  5. Step 5: Solve for x
    x = 799,948.13/1,033.17
  6. Step 6: Final answer
    x = 774.27

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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.