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Finding the Fourth Proportional to 870.96, 1,200.60 and 559.92

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Solution

The fourth proportional to 870.96, 1,200.60 and 559.92 is: 771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.96 : 1,200.60 = 559.92 : x
  2. Step 2: Convert to fraction form
    870.96/1,200.60 = 559.92/x
  3. Step 3: Cross multiply
    870.96x = 1,200.60 × 559.92
  4. Step 4: Simplify right side
    870.96x = 672,239.95
  5. Step 5: Solve for x
    x = 672,239.95/870.96
  6. Step 6: Final answer
    x = 771.84

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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.