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Finding the Fourth Proportional to 840.28, 1,261.59 and 429.70

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Solution

The fourth proportional to 840.28, 1,261.59 and 429.70 is: 645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.28 : 1,261.59 = 429.70 : x
  2. Step 2: Convert to fraction form
    840.28/1,261.59 = 429.70/x
  3. Step 3: Cross multiply
    840.28x = 1,261.59 × 429.70
  4. Step 4: Simplify right side
    840.28x = 542,105.22
  5. Step 5: Solve for x
    x = 542,105.22/840.28
  6. Step 6: Final answer
    x = 645.15

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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.