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Finding the Fourth Proportional to 840.64, 1,159.90 and 491.17

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Solution

The fourth proportional to 840.64, 1,159.90 and 491.17 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.64 : 1,159.90 = 491.17 : x
  2. Step 2: Convert to fraction form
    840.64/1,159.90 = 491.17/x
  3. Step 3: Cross multiply
    840.64x = 1,159.90 × 491.17
  4. Step 4: Simplify right side
    840.64x = 569,708.08
  5. Step 5: Solve for x
    x = 569,708.08/840.64
  6. Step 6: Final answer
    x = 677.71

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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.