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Finding the Fourth Proportional to 840.12, 1,159.40 and 560.88

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Solution

The fourth proportional to 840.12, 1,159.40 and 560.88 is: 774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.12 : 1,159.40 = 560.88 : x
  2. Step 2: Convert to fraction form
    840.12/1,159.40 = 560.88/x
  3. Step 3: Cross multiply
    840.12x = 1,159.40 × 560.88
  4. Step 4: Simplify right side
    840.12x = 650,284.27
  5. Step 5: Solve for x
    x = 650,284.27/840.12
  6. Step 6: Final answer
    x = 774.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.