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Finding the Fourth Proportional to 1,291.46, 1,936.68 and 560.53

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Solution

The fourth proportional to 1,291.46, 1,936.68 and 560.53 is: 840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.46 : 1,936.68 = 560.53 : x
  2. Step 2: Convert to fraction form
    1,291.46/1,936.68 = 560.53/x
  3. Step 3: Cross multiply
    1,291.46x = 1,936.68 × 560.53
  4. Step 4: Simplify right side
    1,291.46x = 1,085,567.56
  5. Step 5: Solve for x
    x = 1,085,567.56/1,291.46
  6. Step 6: Final answer
    x = 840.58

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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.