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Finding the Fourth Proportional to 840.17, 1,159.35 and 491.06

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Solution

The fourth proportional to 840.17, 1,159.35 and 491.06 is: 677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.17 : 1,159.35 = 491.06 : x
  2. Step 2: Convert to fraction form
    840.17/1,159.35 = 491.06/x
  3. Step 3: Cross multiply
    840.17x = 1,159.35 × 491.06
  4. Step 4: Simplify right side
    840.17x = 569,310.41
  5. Step 5: Solve for x
    x = 569,310.41/840.17
  6. Step 6: Final answer
    x = 677.61

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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.