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Finding the Fourth Proportional to 1,102.90, 1,652.94 and 452.86

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Solution

The fourth proportional to 1,102.90, 1,652.94 and 452.86 is: 678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.90 : 1,652.94 = 452.86 : x
  2. Step 2: Convert to fraction form
    1,102.90/1,652.94 = 452.86/x
  3. Step 3: Cross multiply
    1,102.90x = 1,652.94 × 452.86
  4. Step 4: Simplify right side
    1,102.90x = 748,550.41
  5. Step 5: Solve for x
    x = 748,550.41/1,102.90
  6. Step 6: Final answer
    x = 678.71

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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.