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Finding the Fourth Proportional to 808.56, 1,116.18 and 476.88

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Solution

The fourth proportional to 808.56, 1,116.18 and 476.88 is: 658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.56 : 1,116.18 = 476.88 : x
  2. Step 2: Convert to fraction form
    808.56/1,116.18 = 476.88/x
  3. Step 3: Cross multiply
    808.56x = 1,116.18 × 476.88
  4. Step 4: Simplify right side
    808.56x = 532,283.92
  5. Step 5: Solve for x
    x = 532,283.92/808.56
  6. Step 6: Final answer
    x = 658.31

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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.