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Finding the Fourth Proportional to 908.99, 1,363.43 and 498.93

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Solution

The fourth proportional to 908.99, 1,363.43 and 498.93 is: 748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.99 : 1,363.43 = 498.93 : x
  2. Step 2: Convert to fraction form
    908.99/1,363.43 = 498.93/x
  3. Step 3: Cross multiply
    908.99x = 1,363.43 × 498.93
  4. Step 4: Simplify right side
    908.99x = 680,253.64
  5. Step 5: Solve for x
    x = 680,253.64/908.99
  6. Step 6: Final answer
    x = 748.37

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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.