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Finding the Fourth Proportional to 926.54, 1,389.81 and 772.58

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Solution

The fourth proportional to 926.54, 1,389.81 and 772.58 is: 1,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.54 : 1,389.81 = 772.58 : x
  2. Step 2: Convert to fraction form
    926.54/1,389.81 = 772.58/x
  3. Step 3: Cross multiply
    926.54x = 1,389.81 × 772.58
  4. Step 4: Simplify right side
    926.54x = 1,073,732.46
  5. Step 5: Solve for x
    x = 1,073,732.46/926.54
  6. Step 6: Final answer
    x = 1,158.87

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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.