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Finding the Fourth Proportional to 1,652.95, 2,479.82 and 482.97

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Solution

The fourth proportional to 1,652.95, 2,479.82 and 482.97 is: 724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.95 : 2,479.82 = 482.97 : x
  2. Step 2: Convert to fraction form
    1,652.95/2,479.82 = 482.97/x
  3. Step 3: Cross multiply
    1,652.95x = 2,479.82 × 482.97
  4. Step 4: Simplify right side
    1,652.95x = 1,197,671.60
  5. Step 5: Solve for x
    x = 1,197,671.60/1,652.95
  6. Step 6: Final answer
    x = 724.57

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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.