Home / 1,102.86-1,652.52-582.84

Finding the Fourth Proportional to 1,102.86, 1,652.52 and 582.84

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Solution

The fourth proportional to 1,102.86, 1,652.52 and 582.84 is: 873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.86 : 1,652.52 = 582.84 : x
  2. Step 2: Convert to fraction form
    1,102.86/1,652.52 = 582.84/x
  3. Step 3: Cross multiply
    1,102.86x = 1,652.52 × 582.84
  4. Step 4: Simplify right side
    1,102.86x = 963,154.76
  5. Step 5: Solve for x
    x = 963,154.76/1,102.86
  6. Step 6: Final answer
    x = 873.32

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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.