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Finding the Fourth Proportional to 1,041.17, 1,436.73 and 575.42

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Solution

The fourth proportional to 1,041.17, 1,436.73 and 575.42 is: 794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.17 : 1,436.73 = 575.42 : x
  2. Step 2: Convert to fraction form
    1,041.17/1,436.73 = 575.42/x
  3. Step 3: Cross multiply
    1,041.17x = 1,436.73 × 575.42
  4. Step 4: Simplify right side
    1,041.17x = 826,723.18
  5. Step 5: Solve for x
    x = 826,723.18/1,041.17
  6. Step 6: Final answer
    x = 794.03

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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.