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Finding the Fourth Proportional to 925.06, 1,384.47 and 778.99

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Solution

The fourth proportional to 925.06, 1,384.47 and 778.99 is: 1,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.06 : 1,384.47 = 778.99 : x
  2. Step 2: Convert to fraction form
    925.06/1,384.47 = 778.99/x
  3. Step 3: Cross multiply
    925.06x = 1,384.47 × 778.99
  4. Step 4: Simplify right side
    925.06x = 1,078,488.29
  5. Step 5: Solve for x
    x = 1,078,488.29/925.06
  6. Step 6: Final answer
    x = 1,165.86

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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.