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Finding the Fourth Proportional to 935.70, 1,401.53 and 833.10

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Solution

The fourth proportional to 935.70, 1,401.53 and 833.10 is: 1,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.70 : 1,401.53 = 833.10 : x
  2. Step 2: Convert to fraction form
    935.70/1,401.53 = 833.10/x
  3. Step 3: Cross multiply
    935.70x = 1,401.53 × 833.10
  4. Step 4: Simplify right side
    935.70x = 1,167,610.48
  5. Step 5: Solve for x
    x = 1,167,610.48/935.70
  6. Step 6: Final answer
    x = 1,247.85

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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.