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Finding the Fourth Proportional to 1,102.29, 1,652.86 and 582.57

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Solution

The fourth proportional to 1,102.29, 1,652.86 and 582.57 is: 873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.29 : 1,652.86 = 582.57 : x
  2. Step 2: Convert to fraction form
    1,102.29/1,652.86 = 582.57/x
  3. Step 3: Cross multiply
    1,102.29x = 1,652.86 × 582.57
  4. Step 4: Simplify right side
    1,102.29x = 962,903.74
  5. Step 5: Solve for x
    x = 962,903.74/1,102.29
  6. Step 6: Final answer
    x = 873.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.