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Finding the Fourth Proportional to 815.27, 1,218.19 and 582.90

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Solution

The fourth proportional to 815.27, 1,218.19 and 582.90 is: 870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.27 : 1,218.19 = 582.90 : x
  2. Step 2: Convert to fraction form
    815.27/1,218.19 = 582.90/x
  3. Step 3: Cross multiply
    815.27x = 1,218.19 × 582.90
  4. Step 4: Simplify right side
    815.27x = 710,078.02
  5. Step 5: Solve for x
    x = 710,078.02/815.27
  6. Step 6: Final answer
    x = 870.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.