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Finding the Fourth Proportional to 1,306.59, 1,801.89 and 1,157.43

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Solution

The fourth proportional to 1,306.59, 1,801.89 and 1,157.43 is: 1,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.59 : 1,801.89 = 1,157.43 : x
  2. Step 2: Convert to fraction form
    1,306.59/1,801.89 = 1,157.43/x
  3. Step 3: Cross multiply
    1,306.59x = 1,801.89 × 1,157.43
  4. Step 4: Simplify right side
    1,306.59x = 2,085,561.54
  5. Step 5: Solve for x
    x = 2,085,561.54/1,306.59
  6. Step 6: Final answer
    x = 1,596.19

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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.