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Finding the Fourth Proportional to 909.36, 1,363.68 and 498.40

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Solution

The fourth proportional to 909.36, 1,363.68 and 498.40 is: 747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.36 : 1,363.68 = 498.40 : x
  2. Step 2: Convert to fraction form
    909.36/1,363.68 = 498.40/x
  3. Step 3: Cross multiply
    909.36x = 1,363.68 × 498.40
  4. Step 4: Simplify right side
    909.36x = 679,658.11
  5. Step 5: Solve for x
    x = 679,658.11/909.36
  6. Step 6: Final answer
    x = 747.40

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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.