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Finding the Fourth Proportional to 923.38, 1,382.16 and 648.65

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Solution

The fourth proportional to 923.38, 1,382.16 and 648.65 is: 970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.38 : 1,382.16 = 648.65 : x
  2. Step 2: Convert to fraction form
    923.38/1,382.16 = 648.65/x
  3. Step 3: Cross multiply
    923.38x = 1,382.16 × 648.65
  4. Step 4: Simplify right side
    923.38x = 896,538.08
  5. Step 5: Solve for x
    x = 896,538.08/923.38
  6. Step 6: Final answer
    x = 970.93

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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.