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Finding the Fourth Proportional to 840.32, 1,261.85 and 517.74

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Solution

The fourth proportional to 840.32, 1,261.85 and 517.74 is: 777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.32 : 1,261.85 = 517.74 : x
  2. Step 2: Convert to fraction form
    840.32/1,261.85 = 517.74/x
  3. Step 3: Cross multiply
    840.32x = 1,261.85 × 517.74
  4. Step 4: Simplify right side
    840.32x = 653,314.36
  5. Step 5: Solve for x
    x = 653,314.36/840.32
  6. Step 6: Final answer
    x = 777.45

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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.