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Finding the Fourth Proportional to 1,371.53, 2,057.70 and 549.38

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Solution

The fourth proportional to 1,371.53, 2,057.70 and 549.38 is: 824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.53 : 2,057.70 = 549.38 : x
  2. Step 2: Convert to fraction form
    1,371.53/2,057.70 = 549.38/x
  3. Step 3: Cross multiply
    1,371.53x = 2,057.70 × 549.38
  4. Step 4: Simplify right side
    1,371.53x = 1,130,459.23
  5. Step 5: Solve for x
    x = 1,130,459.23/1,371.53
  6. Step 6: Final answer
    x = 824.23

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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.