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Finding the Fourth Proportional to 857.10, 1,182.43 and 660.30

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Solution

The fourth proportional to 857.10, 1,182.43 and 660.30 is: 910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.10 : 1,182.43 = 660.30 : x
  2. Step 2: Convert to fraction form
    857.10/1,182.43 = 660.30/x
  3. Step 3: Cross multiply
    857.10x = 1,182.43 × 660.30
  4. Step 4: Simplify right side
    857.10x = 780,758.53
  5. Step 5: Solve for x
    x = 780,758.53/857.10
  6. Step 6: Final answer
    x = 910.93

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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.