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Finding the Fourth Proportional to 840.34, 1,259.06 and 655.61

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Solution

The fourth proportional to 840.34, 1,259.06 and 655.61 is: 982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.34 : 1,259.06 = 655.61 : x
  2. Step 2: Convert to fraction form
    840.34/1,259.06 = 655.61/x
  3. Step 3: Cross multiply
    840.34x = 1,259.06 × 655.61
  4. Step 4: Simplify right side
    840.34x = 825,445.21
  5. Step 5: Solve for x
    x = 825,445.21/840.34
  6. Step 6: Final answer
    x = 982.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.