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Finding the Fourth Proportional to 1,472.98, 2,210.31 and 549.17

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Solution

The fourth proportional to 1,472.98, 2,210.31 and 549.17 is: 824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.98 : 2,210.31 = 549.17 : x
  2. Step 2: Convert to fraction form
    1,472.98/2,210.31 = 549.17/x
  3. Step 3: Cross multiply
    1,472.98x = 2,210.31 × 549.17
  4. Step 4: Simplify right side
    1,472.98x = 1,213,833.20
  5. Step 5: Solve for x
    x = 1,213,833.20/1,472.98
  6. Step 6: Final answer
    x = 824.07

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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.