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Finding the Fourth Proportional to 1,059.31, 1,461.84 and 593.56

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Solution

The fourth proportional to 1,059.31, 1,461.84 and 593.56 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.31 : 1,461.84 = 593.56 : x
  2. Step 2: Convert to fraction form
    1,059.31/1,461.84 = 593.56/x
  3. Step 3: Cross multiply
    1,059.31x = 1,461.84 × 593.56
  4. Step 4: Simplify right side
    1,059.31x = 867,679.47
  5. Step 5: Solve for x
    x = 867,679.47/1,059.31
  6. Step 6: Final answer
    x = 819.10

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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.