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Finding the Fourth Proportional to 909.46, 1,254.72 and 614.26

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Solution

The fourth proportional to 909.46, 1,254.72 and 614.26 is: 847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.46 : 1,254.72 = 614.26 : x
  2. Step 2: Convert to fraction form
    909.46/1,254.72 = 614.26/x
  3. Step 3: Cross multiply
    909.46x = 1,254.72 × 614.26
  4. Step 4: Simplify right side
    909.46x = 770,724.31
  5. Step 5: Solve for x
    x = 770,724.31/909.46
  6. Step 6: Final answer
    x = 847.45

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Double scale
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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.