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Finding the Fourth Proportional to 874.79, 1,207.19 and 476.46

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Solution

The fourth proportional to 874.79, 1,207.19 and 476.46 is: 657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.79 : 1,207.19 = 476.46 : x
  2. Step 2: Convert to fraction form
    874.79/1,207.19 = 476.46/x
  3. Step 3: Cross multiply
    874.79x = 1,207.19 × 476.46
  4. Step 4: Simplify right side
    874.79x = 575,177.75
  5. Step 5: Solve for x
    x = 575,177.75/874.79
  6. Step 6: Final answer
    x = 657.50

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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.