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Finding the Fourth Proportional to 1,049.46, 1,574.84 and 587.55

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Solution

The fourth proportional to 1,049.46, 1,574.84 and 587.55 is: 881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.46 : 1,574.84 = 587.55 : x
  2. Step 2: Convert to fraction form
    1,049.46/1,574.84 = 587.55/x
  3. Step 3: Cross multiply
    1,049.46x = 1,574.84 × 587.55
  4. Step 4: Simplify right side
    1,049.46x = 925,304.62
  5. Step 5: Solve for x
    x = 925,304.62/1,049.46
  6. Step 6: Final answer
    x = 881.70

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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.