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Finding the Fourth Proportional to 1,321.96, 1,983.06 and 348.06

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Solution

The fourth proportional to 1,321.96, 1,983.06 and 348.06 is: 522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.96 : 1,983.06 = 348.06 : x
  2. Step 2: Convert to fraction form
    1,321.96/1,983.06 = 348.06/x
  3. Step 3: Cross multiply
    1,321.96x = 1,983.06 × 348.06
  4. Step 4: Simplify right side
    1,321.96x = 690,223.86
  5. Step 5: Solve for x
    x = 690,223.86/1,321.96
  6. Step 6: Final answer
    x = 522.12

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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.