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Finding the Fourth Proportional to 923.38, 1,276.08 and 824.96

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Solution

The fourth proportional to 923.38, 1,276.08 and 824.96 is: 1,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.38 : 1,276.08 = 824.96 : x
  2. Step 2: Convert to fraction form
    923.38/1,276.08 = 824.96/x
  3. Step 3: Cross multiply
    923.38x = 1,276.08 × 824.96
  4. Step 4: Simplify right side
    923.38x = 1,052,714.96
  5. Step 5: Solve for x
    x = 1,052,714.96/923.38
  6. Step 6: Final answer
    x = 1,140.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.