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Finding the Fourth Proportional to 1,652.16, 2,478.24 and 482.25

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Solution

The fourth proportional to 1,652.16, 2,478.24 and 482.25 is: 723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.16 : 2,478.24 = 482.25 : x
  2. Step 2: Convert to fraction form
    1,652.16/2,478.24 = 482.25/x
  3. Step 3: Cross multiply
    1,652.16x = 2,478.24 × 482.25
  4. Step 4: Simplify right side
    1,652.16x = 1,195,131.24
  5. Step 5: Solve for x
    x = 1,195,131.24/1,652.16
  6. Step 6: Final answer
    x = 723.38

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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.