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Finding the Fourth Proportional to 1,101.76, 1,652.02 and 452.94

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Solution

The fourth proportional to 1,101.76, 1,652.02 and 452.94 is: 679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.76 : 1,652.02 = 452.94 : x
  2. Step 2: Convert to fraction form
    1,101.76/1,652.02 = 452.94/x
  3. Step 3: Cross multiply
    1,101.76x = 1,652.02 × 452.94
  4. Step 4: Simplify right side
    1,101.76x = 748,265.94
  5. Step 5: Solve for x
    x = 748,265.94/1,101.76
  6. Step 6: Final answer
    x = 679.16

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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.