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Finding the Fourth Proportional to 703.72, 1,052.70 and 588.52

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Solution

The fourth proportional to 703.72, 1,052.70 and 588.52 is: 880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.72 : 1,052.70 = 588.52 : x
  2. Step 2: Convert to fraction form
    703.72/1,052.70 = 588.52/x
  3. Step 3: Cross multiply
    703.72x = 1,052.70 × 588.52
  4. Step 4: Simplify right side
    703.72x = 619,535.00
  5. Step 5: Solve for x
    x = 619,535.00/703.72
  6. Step 6: Final answer
    x = 880.37

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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.