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Finding the Fourth Proportional to 870.09, 1,200.42 and 582.74

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Solution

The fourth proportional to 870.09, 1,200.42 and 582.74 is: 803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.09 : 1,200.42 = 582.74 : x
  2. Step 2: Convert to fraction form
    870.09/1,200.42 = 582.74/x
  3. Step 3: Cross multiply
    870.09x = 1,200.42 × 582.74
  4. Step 4: Simplify right side
    870.09x = 699,538.00
  5. Step 5: Solve for x
    x = 699,538.00/870.09
  6. Step 6: Final answer
    x = 803.98

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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.