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Finding the Fourth Proportional to 909.10, 1,364.10 and 498.43

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Solution

The fourth proportional to 909.10, 1,364.10 and 498.43 is: 747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.10 : 1,364.10 = 498.43 : x
  2. Step 2: Convert to fraction form
    909.10/1,364.10 = 498.43/x
  3. Step 3: Cross multiply
    909.10x = 1,364.10 × 498.43
  4. Step 4: Simplify right side
    909.10x = 679,908.36
  5. Step 5: Solve for x
    x = 679,908.36/909.10
  6. Step 6: Final answer
    x = 747.89

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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.