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Finding the Fourth Proportional to 1,638.28, 2,457.47 and 542.55

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Solution

The fourth proportional to 1,638.28, 2,457.47 and 542.55 is: 813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.28 : 2,457.47 = 542.55 : x
  2. Step 2: Convert to fraction form
    1,638.28/2,457.47 = 542.55/x
  3. Step 3: Cross multiply
    1,638.28x = 2,457.47 × 542.55
  4. Step 4: Simplify right side
    1,638.28x = 1,333,300.35
  5. Step 5: Solve for x
    x = 1,333,300.35/1,638.28
  6. Step 6: Final answer
    x = 813.84

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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.