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Finding the Fourth Proportional to 1,049.04, 1,575.08 and 586.73

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Solution

The fourth proportional to 1,049.04, 1,575.08 and 586.73 is: 880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.04 : 1,575.08 = 586.73 : x
  2. Step 2: Convert to fraction form
    1,049.04/1,575.08 = 586.73/x
  3. Step 3: Cross multiply
    1,049.04x = 1,575.08 × 586.73
  4. Step 4: Simplify right side
    1,049.04x = 924,135.88
  5. Step 5: Solve for x
    x = 924,135.88/1,049.04
  6. Step 6: Final answer
    x = 880.93

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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.