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Finding the Fourth Proportional to 697.08, 1,043.19 and 588.54

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Solution

The fourth proportional to 697.08, 1,043.19 and 588.54 is: 880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 1,043.19 = 588.54 : x
  2. Step 2: Convert to fraction form
    697.08/1,043.19 = 588.54/x
  3. Step 3: Cross multiply
    697.08x = 1,043.19 × 588.54
  4. Step 4: Simplify right side
    697.08x = 613,959.04
  5. Step 5: Solve for x
    x = 613,959.04/697.08
  6. Step 6: Final answer
    x = 880.76

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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.