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Finding the Fourth Proportional to 840.40, 1,159.72 and 467.40

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Solution

The fourth proportional to 840.40, 1,159.72 and 467.40 is: 644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.40 : 1,159.72 = 467.40 : x
  2. Step 2: Convert to fraction form
    840.40/1,159.72 = 467.40/x
  3. Step 3: Cross multiply
    840.40x = 1,159.72 × 467.40
  4. Step 4: Simplify right side
    840.40x = 542,053.13
  5. Step 5: Solve for x
    x = 542,053.13/840.40
  6. Step 6: Final answer
    x = 644.99

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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.