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Finding the Fourth Proportional to 909.74, 1,253.50 and 614.50

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Solution

The fourth proportional to 909.74, 1,253.50 and 614.50 is: 846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.74 : 1,253.50 = 614.50 : x
  2. Step 2: Convert to fraction form
    909.74/1,253.50 = 614.50/x
  3. Step 3: Cross multiply
    909.74x = 1,253.50 × 614.50
  4. Step 4: Simplify right side
    909.74x = 770,275.75
  5. Step 5: Solve for x
    x = 770,275.75/909.74
  6. Step 6: Final answer
    x = 846.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.