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Finding the Fourth Proportional to 1,369.60, 2,053.84 and 547.76

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Solution

The fourth proportional to 1,369.60, 2,053.84 and 547.76 is: 821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.60 : 2,053.84 = 547.76 : x
  2. Step 2: Convert to fraction form
    1,369.60/2,053.84 = 547.76/x
  3. Step 3: Cross multiply
    1,369.60x = 2,053.84 × 547.76
  4. Step 4: Simplify right side
    1,369.60x = 1,125,011.40
  5. Step 5: Solve for x
    x = 1,125,011.40/1,369.60
  6. Step 6: Final answer
    x = 821.42

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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.