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Finding the Fourth Proportional to 925.78, 1,381.75 and 776.74

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Solution

The fourth proportional to 925.78, 1,381.75 and 776.74 is: 1,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.78 : 1,381.75 = 776.74 : x
  2. Step 2: Convert to fraction form
    925.78/1,381.75 = 776.74/x
  3. Step 3: Cross multiply
    925.78x = 1,381.75 × 776.74
  4. Step 4: Simplify right side
    925.78x = 1,073,260.50
  5. Step 5: Solve for x
    x = 1,073,260.50/925.78
  6. Step 6: Final answer
    x = 1,159.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.