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Finding the Fourth Proportional to 923.16, 1,382.58 and 813.72

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Solution

The fourth proportional to 923.16, 1,382.58 and 813.72 is: 1,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.16 : 1,382.58 = 813.72 : x
  2. Step 2: Convert to fraction form
    923.16/1,382.58 = 813.72/x
  3. Step 3: Cross multiply
    923.16x = 1,382.58 × 813.72
  4. Step 4: Simplify right side
    923.16x = 1,125,033.00
  5. Step 5: Solve for x
    x = 1,125,033.00/923.16
  6. Step 6: Final answer
    x = 1,218.68

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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.