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Finding the Fourth Proportional to 840.44, 1,159.74 and 467.42

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Solution

The fourth proportional to 840.44, 1,159.74 and 467.42 is: 645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.44 : 1,159.74 = 467.42 : x
  2. Step 2: Convert to fraction form
    840.44/1,159.74 = 467.42/x
  3. Step 3: Cross multiply
    840.44x = 1,159.74 × 467.42
  4. Step 4: Simplify right side
    840.44x = 542,085.67
  5. Step 5: Solve for x
    x = 542,085.67/840.44
  6. Step 6: Final answer
    x = 645.00

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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.