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Finding the Fourth Proportional to 909.48, 1,363.78 and 544.17

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Solution

The fourth proportional to 909.48, 1,363.78 and 544.17 is: 815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.48 : 1,363.78 = 544.17 : x
  2. Step 2: Convert to fraction form
    909.48/1,363.78 = 544.17/x
  3. Step 3: Cross multiply
    909.48x = 1,363.78 × 544.17
  4. Step 4: Simplify right side
    909.48x = 742,128.16
  5. Step 5: Solve for x
    x = 742,128.16/909.48
  6. Step 6: Final answer
    x = 815.99

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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.