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Finding the Fourth Proportional to 1,322.30, 1,983.54 and 348.50

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Solution

The fourth proportional to 1,322.30, 1,983.54 and 348.50 is: 522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.30 : 1,983.54 = 348.50 : x
  2. Step 2: Convert to fraction form
    1,322.30/1,983.54 = 348.50/x
  3. Step 3: Cross multiply
    1,322.30x = 1,983.54 × 348.50
  4. Step 4: Simplify right side
    1,322.30x = 691,263.69
  5. Step 5: Solve for x
    x = 691,263.69/1,322.30
  6. Step 6: Final answer
    x = 522.77

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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.