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Finding the Fourth Proportional to 870.96, 1,201.82 and 477.98

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Solution

The fourth proportional to 870.96, 1,201.82 and 477.98 is: 659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.96 : 1,201.82 = 477.98 : x
  2. Step 2: Convert to fraction form
    870.96/1,201.82 = 477.98/x
  3. Step 3: Cross multiply
    870.96x = 1,201.82 × 477.98
  4. Step 4: Simplify right side
    870.96x = 574,445.92
  5. Step 5: Solve for x
    x = 574,445.92/870.96
  6. Step 6: Final answer
    x = 659.55

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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.