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Finding the Fourth Proportional to 816.32, 1,124.24 and 677.04

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Solution

The fourth proportional to 816.32, 1,124.24 and 677.04 is: 932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.32 : 1,124.24 = 677.04 : x
  2. Step 2: Convert to fraction form
    816.32/1,124.24 = 677.04/x
  3. Step 3: Cross multiply
    816.32x = 1,124.24 × 677.04
  4. Step 4: Simplify right side
    816.32x = 761,155.45
  5. Step 5: Solve for x
    x = 761,155.45/816.32
  6. Step 6: Final answer
    x = 932.42

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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.