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Finding the Fourth Proportional to 933.93, 1,401.00 and 762.06

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Solution

The fourth proportional to 933.93, 1,401.00 and 762.06 is: 1,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.93 : 1,401.00 = 762.06 : x
  2. Step 2: Convert to fraction form
    933.93/1,401.00 = 762.06/x
  3. Step 3: Cross multiply
    933.93x = 1,401.00 × 762.06
  4. Step 4: Simplify right side
    933.93x = 1,067,640.58
  5. Step 5: Solve for x
    x = 1,067,640.58/933.93
  6. Step 6: Final answer
    x = 1,143.17

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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.