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Finding the Fourth Proportional to 923.08, 1,382.54 and 532.15

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Solution

The fourth proportional to 923.08, 1,382.54 and 532.15 is: 797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,382.54 = 532.15 : x
  2. Step 2: Convert to fraction form
    923.08/1,382.54 = 532.15/x
  3. Step 3: Cross multiply
    923.08x = 1,382.54 × 532.15
  4. Step 4: Simplify right side
    923.08x = 735,724.81
  5. Step 5: Solve for x
    x = 735,724.81/923.08
  6. Step 6: Final answer
    x = 797.03

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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.