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Finding the Fourth Proportional to 1,092.11, 1,507.06 and 594.75

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Solution

The fourth proportional to 1,092.11, 1,507.06 and 594.75 is: 820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.11 : 1,507.06 = 594.75 : x
  2. Step 2: Convert to fraction form
    1,092.11/1,507.06 = 594.75/x
  3. Step 3: Cross multiply
    1,092.11x = 1,507.06 × 594.75
  4. Step 4: Simplify right side
    1,092.11x = 896,313.43
  5. Step 5: Solve for x
    x = 896,313.43/1,092.11
  6. Step 6: Final answer
    x = 820.72

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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.