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Finding the Fourth Proportional to 933.46, 1,401.27 and 501.46

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Solution

The fourth proportional to 933.46, 1,401.27 and 501.46 is: 752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.46 : 1,401.27 = 501.46 : x
  2. Step 2: Convert to fraction form
    933.46/1,401.27 = 501.46/x
  3. Step 3: Cross multiply
    933.46x = 1,401.27 × 501.46
  4. Step 4: Simplify right side
    933.46x = 702,680.85
  5. Step 5: Solve for x
    x = 702,680.85/933.46
  6. Step 6: Final answer
    x = 752.77

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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.