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Finding the Fourth Proportional to 932.64, 1,284.01 and 816.13

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Solution

The fourth proportional to 932.64, 1,284.01 and 816.13 is: 1,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.64 : 1,284.01 = 816.13 : x
  2. Step 2: Convert to fraction form
    932.64/1,284.01 = 816.13/x
  3. Step 3: Cross multiply
    932.64x = 1,284.01 × 816.13
  4. Step 4: Simplify right side
    932.64x = 1,047,919.08
  5. Step 5: Solve for x
    x = 1,047,919.08/932.64
  6. Step 6: Final answer
    x = 1,123.61

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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.