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Finding the Fourth Proportional to 840.17, 1,159.44 and 467.17

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Solution

The fourth proportional to 840.17, 1,159.44 and 467.17 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.17 : 1,159.44 = 467.17 : x
  2. Step 2: Convert to fraction form
    840.17/1,159.44 = 467.17/x
  3. Step 3: Cross multiply
    840.17x = 1,159.44 × 467.17
  4. Step 4: Simplify right side
    840.17x = 541,655.58
  5. Step 5: Solve for x
    x = 541,655.58/840.17
  6. Step 6: Final answer
    x = 644.70

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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.