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Finding the Fourth Proportional to 1,049.40, 1,572.88 and 587.08

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Solution

The fourth proportional to 1,049.40, 1,572.88 and 587.08 is: 879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.40 : 1,572.88 = 587.08 : x
  2. Step 2: Convert to fraction form
    1,049.40/1,572.88 = 587.08/x
  3. Step 3: Cross multiply
    1,049.40x = 1,572.88 × 587.08
  4. Step 4: Simplify right side
    1,049.40x = 923,406.39
  5. Step 5: Solve for x
    x = 923,406.39/1,049.40
  6. Step 6: Final answer
    x = 879.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.