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Finding the Fourth Proportional to 909.79, 1,364.15 and 498.82

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Solution

The fourth proportional to 909.79, 1,364.15 and 498.82 is: 747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.79 : 1,364.15 = 498.82 : x
  2. Step 2: Convert to fraction form
    909.79/1,364.15 = 498.82/x
  3. Step 3: Cross multiply
    909.79x = 1,364.15 × 498.82
  4. Step 4: Simplify right side
    909.79x = 680,463.14
  5. Step 5: Solve for x
    x = 680,463.14/909.79
  6. Step 6: Final answer
    x = 747.94

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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.