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Finding the Fourth Proportional to 1,105.28, 1,657.68 and 549.42

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Solution

The fourth proportional to 1,105.28, 1,657.68 and 549.42 is: 824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.28 : 1,657.68 = 549.42 : x
  2. Step 2: Convert to fraction form
    1,105.28/1,657.68 = 549.42/x
  3. Step 3: Cross multiply
    1,105.28x = 1,657.68 × 549.42
  4. Step 4: Simplify right side
    1,105.28x = 910,762.55
  5. Step 5: Solve for x
    x = 910,762.55/1,105.28
  6. Step 6: Final answer
    x = 824.01

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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.