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Finding the Fourth Proportional to 924.78, 1,379.05 and 785.46

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Solution

The fourth proportional to 924.78, 1,379.05 and 785.46 is: 1,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.78 : 1,379.05 = 785.46 : x
  2. Step 2: Convert to fraction form
    924.78/1,379.05 = 785.46/x
  3. Step 3: Cross multiply
    924.78x = 1,379.05 × 785.46
  4. Step 4: Simplify right side
    924.78x = 1,083,188.61
  5. Step 5: Solve for x
    x = 1,083,188.61/924.78
  6. Step 6: Final answer
    x = 1,171.29

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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.