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Finding the Fourth Proportional to 1,652.78, 2,478.78 and 482.78

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Solution

The fourth proportional to 1,652.78, 2,478.78 and 482.78 is: 724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.78 : 2,478.78 = 482.78 : x
  2. Step 2: Convert to fraction form
    1,652.78/2,478.78 = 482.78/x
  3. Step 3: Cross multiply
    1,652.78x = 2,478.78 × 482.78
  4. Step 4: Simplify right side
    1,652.78x = 1,196,693.01
  5. Step 5: Solve for x
    x = 1,196,693.01/1,652.78
  6. Step 6: Final answer
    x = 724.05

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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.