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Finding the Fourth Proportional to 935.72, 1,402.14 and 593

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Solution

The fourth proportional to 935.72, 1,402.14 and 593 is: 888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.72 : 1,402.14 = 593 : x
  2. Step 2: Convert to fraction form
    935.72/1,402.14 = 593/x
  3. Step 3: Cross multiply
    935.72x = 1,402.14 × 593
  4. Step 4: Simplify right side
    935.72x = 831,469.02
  5. Step 5: Solve for x
    x = 831,469.02/935.72
  6. Step 6: Final answer
    x = 888.59

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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.