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Finding the Fourth Proportional to 909.49, 1,253.16 and 614.24

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Solution

The fourth proportional to 909.49, 1,253.16 and 614.24 is: 846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.49 : 1,253.16 = 614.24 : x
  2. Step 2: Convert to fraction form
    909.49/1,253.16 = 614.24/x
  3. Step 3: Cross multiply
    909.49x = 1,253.16 × 614.24
  4. Step 4: Simplify right side
    909.49x = 769,741.00
  5. Step 5: Solve for x
    x = 769,741.00/909.49
  6. Step 6: Final answer
    x = 846.34

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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.