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Finding the Fourth Proportional to 1,242.42, 1,864.14 and 549.24

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Solution

The fourth proportional to 1,242.42, 1,864.14 and 549.24 is: 824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.42 : 1,864.14 = 549.24 : x
  2. Step 2: Convert to fraction form
    1,242.42/1,864.14 = 549.24/x
  3. Step 3: Cross multiply
    1,242.42x = 1,864.14 × 549.24
  4. Step 4: Simplify right side
    1,242.42x = 1,023,860.25
  5. Step 5: Solve for x
    x = 1,023,860.25/1,242.42
  6. Step 6: Final answer
    x = 824.09

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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.