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Finding the Fourth Proportional to 698.25, 1,045.58 and 593.87

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Solution

The fourth proportional to 698.25, 1,045.58 and 593.87 is: 889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.25 : 1,045.58 = 593.87 : x
  2. Step 2: Convert to fraction form
    698.25/1,045.58 = 593.87/x
  3. Step 3: Cross multiply
    698.25x = 1,045.58 × 593.87
  4. Step 4: Simplify right side
    698.25x = 620,930.40
  5. Step 5: Solve for x
    x = 620,930.40/698.25
  6. Step 6: Final answer
    x = 889.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.