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Finding the Fourth Proportional to 1,281.78, 1,921.14 and 549.81

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Solution

The fourth proportional to 1,281.78, 1,921.14 and 549.81 is: 824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.78 : 1,921.14 = 549.81 : x
  2. Step 2: Convert to fraction form
    1,281.78/1,921.14 = 549.81/x
  3. Step 3: Cross multiply
    1,281.78x = 1,921.14 × 549.81
  4. Step 4: Simplify right side
    1,281.78x = 1,056,261.98
  5. Step 5: Solve for x
    x = 1,056,261.98/1,281.78
  6. Step 6: Final answer
    x = 824.06

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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.