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Finding the Fourth Proportional to 934.78, 1,401.68 and 496.28

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Solution

The fourth proportional to 934.78, 1,401.68 and 496.28 is: 744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.78 : 1,401.68 = 496.28 : x
  2. Step 2: Convert to fraction form
    934.78/1,401.68 = 496.28/x
  3. Step 3: Cross multiply
    934.78x = 1,401.68 × 496.28
  4. Step 4: Simplify right side
    934.78x = 695,625.75
  5. Step 5: Solve for x
    x = 695,625.75/934.78
  6. Step 6: Final answer
    x = 744.16

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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.