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Finding the Fourth Proportional to 1,363.82, 2,045.67 and 498.14

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Solution

The fourth proportional to 1,363.82, 2,045.67 and 498.14 is: 747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.82 : 2,045.67 = 498.14 : x
  2. Step 2: Convert to fraction form
    1,363.82/2,045.67 = 498.14/x
  3. Step 3: Cross multiply
    1,363.82x = 2,045.67 × 498.14
  4. Step 4: Simplify right side
    1,363.82x = 1,019,030.05
  5. Step 5: Solve for x
    x = 1,019,030.05/1,363.82
  6. Step 6: Final answer
    x = 747.19

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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.