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Finding the Fourth Proportional to 1,472.15, 2,208.24 and 582.77

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Solution

The fourth proportional to 1,472.15, 2,208.24 and 582.77 is: 874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.15 : 2,208.24 = 582.77 : x
  2. Step 2: Convert to fraction form
    1,472.15/2,208.24 = 582.77/x
  3. Step 3: Cross multiply
    1,472.15x = 2,208.24 × 582.77
  4. Step 4: Simplify right side
    1,472.15x = 1,286,901.55
  5. Step 5: Solve for x
    x = 1,286,901.55/1,472.15
  6. Step 6: Final answer
    x = 874.16

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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.