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Finding the Fourth Proportional to 1,363.96, 2,046 and 542.89

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Solution

The fourth proportional to 1,363.96, 2,046 and 542.89 is: 814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.96 : 2,046 = 542.89 : x
  2. Step 2: Convert to fraction form
    1,363.96/2,046 = 542.89/x
  3. Step 3: Cross multiply
    1,363.96x = 2,046 × 542.89
  4. Step 4: Simplify right side
    1,363.96x = 1,110,742.71
  5. Step 5: Solve for x
    x = 1,110,742.71/1,363.96
  6. Step 6: Final answer
    x = 814.35

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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.