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Finding the Fourth Proportional to 951.75, 1,427.84 and 404.40

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Solution

The fourth proportional to 951.75, 1,427.84 and 404.40 is: 606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.75 : 1,427.84 = 404.40 : x
  2. Step 2: Convert to fraction form
    951.75/1,427.84 = 404.40/x
  3. Step 3: Cross multiply
    951.75x = 1,427.84 × 404.40
  4. Step 4: Simplify right side
    951.75x = 577,416.47
  5. Step 5: Solve for x
    x = 577,416.47/951.75
  6. Step 6: Final answer
    x = 606.69

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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.