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Finding the Fourth Proportional to 857.19, 1,182.30 and 557.88

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Solution

The fourth proportional to 857.19, 1,182.30 and 557.88 is: 769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.19 : 1,182.30 = 557.88 : x
  2. Step 2: Convert to fraction form
    857.19/1,182.30 = 557.88/x
  3. Step 3: Cross multiply
    857.19x = 1,182.30 × 557.88
  4. Step 4: Simplify right side
    857.19x = 659,572.82
  5. Step 5: Solve for x
    x = 659,572.82/857.19
  6. Step 6: Final answer
    x = 769.46

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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.