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Finding the Fourth Proportional to 1,363.66, 2,045.48 and 337.66

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Solution

The fourth proportional to 1,363.66, 2,045.48 and 337.66 is: 506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.66 : 2,045.48 = 337.66 : x
  2. Step 2: Convert to fraction form
    1,363.66/2,045.48 = 337.66/x
  3. Step 3: Cross multiply
    1,363.66x = 2,045.48 × 337.66
  4. Step 4: Simplify right side
    1,363.66x = 690,676.78
  5. Step 5: Solve for x
    x = 690,676.78/1,363.66
  6. Step 6: Final answer
    x = 506.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.