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Finding the Fourth Proportional to 1,452.32, 2,178.46 and 586.64

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Solution

The fourth proportional to 1,452.32, 2,178.46 and 586.64 is: 879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.32 : 2,178.46 = 586.64 : x
  2. Step 2: Convert to fraction form
    1,452.32/2,178.46 = 586.64/x
  3. Step 3: Cross multiply
    1,452.32x = 2,178.46 × 586.64
  4. Step 4: Simplify right side
    1,452.32x = 1,277,971.77
  5. Step 5: Solve for x
    x = 1,277,971.77/1,452.32
  6. Step 6: Final answer
    x = 879.95

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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.