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Finding the Fourth Proportional to 909.30, 1,255.17 and 614.58

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Solution

The fourth proportional to 909.30, 1,255.17 and 614.58 is: 848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.30 : 1,255.17 = 614.58 : x
  2. Step 2: Convert to fraction form
    909.30/1,255.17 = 614.58/x
  3. Step 3: Cross multiply
    909.30x = 1,255.17 × 614.58
  4. Step 4: Simplify right side
    909.30x = 771,402.38
  5. Step 5: Solve for x
    x = 771,402.38/909.30
  6. Step 6: Final answer
    x = 848.35

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1.5x scale

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.