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Finding the Fourth Proportional to 821.28, 1,133.36 and 585.64

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Solution

The fourth proportional to 821.28, 1,133.36 and 585.64 is: 808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.28 : 1,133.36 = 585.64 : x
  2. Step 2: Convert to fraction form
    821.28/1,133.36 = 585.64/x
  3. Step 3: Cross multiply
    821.28x = 1,133.36 × 585.64
  4. Step 4: Simplify right side
    821.28x = 663,740.95
  5. Step 5: Solve for x
    x = 663,740.95/821.28
  6. Step 6: Final answer
    x = 808.18

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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.