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Finding the Fourth Proportional to 1,652.77, 2,479.55 and 482.73

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Solution

The fourth proportional to 1,652.77, 2,479.55 and 482.73 is: 724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.77 : 2,479.55 = 482.73 : x
  2. Step 2: Convert to fraction form
    1,652.77/2,479.55 = 482.73/x
  3. Step 3: Cross multiply
    1,652.77x = 2,479.55 × 482.73
  4. Step 4: Simplify right side
    1,652.77x = 1,196,941.46
  5. Step 5: Solve for x
    x = 1,196,941.46/1,652.77
  6. Step 6: Final answer
    x = 724.20

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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.