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Finding the Fourth Proportional to 1,323.38, 1,824.16 and 1,043.16

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Solution

The fourth proportional to 1,323.38, 1,824.16 and 1,043.16 is: 1,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.38 : 1,824.16 = 1,043.16 : x
  2. Step 2: Convert to fraction form
    1,323.38/1,824.16 = 1,043.16/x
  3. Step 3: Cross multiply
    1,323.38x = 1,824.16 × 1,043.16
  4. Step 4: Simplify right side
    1,323.38x = 1,902,890.75
  5. Step 5: Solve for x
    x = 1,902,890.75/1,323.38
  6. Step 6: Final answer
    x = 1,437.90

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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.