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Finding the Fourth Proportional to 1,092.71, 1,507.94 and 595.34

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Solution

The fourth proportional to 1,092.71, 1,507.94 and 595.34 is: 821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.71 : 1,507.94 = 595.34 : x
  2. Step 2: Convert to fraction form
    1,092.71/1,507.94 = 595.34/x
  3. Step 3: Cross multiply
    1,092.71x = 1,507.94 × 595.34
  4. Step 4: Simplify right side
    1,092.71x = 897,732.14
  5. Step 5: Solve for x
    x = 897,732.14/1,092.71
  6. Step 6: Final answer
    x = 821.57

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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.