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Finding the Fourth Proportional to 1,242.49, 1,864.42 and 549.48

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Solution

The fourth proportional to 1,242.49, 1,864.42 and 549.48 is: 824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.49 : 1,864.42 = 549.48 : x
  2. Step 2: Convert to fraction form
    1,242.49/1,864.42 = 549.48/x
  3. Step 3: Cross multiply
    1,242.49x = 1,864.42 × 549.48
  4. Step 4: Simplify right side
    1,242.49x = 1,024,467.12
  5. Step 5: Solve for x
    x = 1,024,467.12/1,242.49
  6. Step 6: Final answer
    x = 824.53

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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.