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Finding the Fourth Proportional to 1,322.38, 1,983.57 and 348.49

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Solution

The fourth proportional to 1,322.38, 1,983.57 and 348.49 is: 522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.38 : 1,983.57 = 348.49 : x
  2. Step 2: Convert to fraction form
    1,322.38/1,983.57 = 348.49/x
  3. Step 3: Cross multiply
    1,322.38x = 1,983.57 × 348.49
  4. Step 4: Simplify right side
    1,322.38x = 691,254.31
  5. Step 5: Solve for x
    x = 691,254.31/1,322.38
  6. Step 6: Final answer
    x = 522.74

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Double scale
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Similar ratio
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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.