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Finding the Fourth Proportional to 1,101.19, 1,652.45 and 484.89

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Solution

The fourth proportional to 1,101.19, 1,652.45 and 484.89 is: 727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.19 : 1,652.45 = 484.89 : x
  2. Step 2: Convert to fraction form
    1,101.19/1,652.45 = 484.89/x
  3. Step 3: Cross multiply
    1,101.19x = 1,652.45 × 484.89
  4. Step 4: Simplify right side
    1,101.19x = 801,256.48
  5. Step 5: Solve for x
    x = 801,256.48/1,101.19
  6. Step 6: Final answer
    x = 727.63

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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.