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Finding the Fourth Proportional to 935.98, 1,401.46 and 761.93

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Solution

The fourth proportional to 935.98, 1,401.46 and 761.93 is: 1,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.98 : 1,401.46 = 761.93 : x
  2. Step 2: Convert to fraction form
    935.98/1,401.46 = 761.93/x
  3. Step 3: Cross multiply
    935.98x = 1,401.46 × 761.93
  4. Step 4: Simplify right side
    935.98x = 1,067,816.02
  5. Step 5: Solve for x
    x = 1,067,816.02/935.98
  6. Step 6: Final answer
    x = 1,140.86

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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.