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Finding the Fourth Proportional to 909.54, 1,255.61 and 614.70

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Solution

The fourth proportional to 909.54, 1,255.61 and 614.70 is: 848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.54 : 1,255.61 = 614.70 : x
  2. Step 2: Convert to fraction form
    909.54/1,255.61 = 614.70/x
  3. Step 3: Cross multiply
    909.54x = 1,255.61 × 614.70
  4. Step 4: Simplify right side
    909.54x = 771,823.47
  5. Step 5: Solve for x
    x = 771,823.47/909.54
  6. Step 6: Final answer
    x = 848.59

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