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Finding the Fourth Proportional to 857.40, 1,182.43 and 562.83

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Solution

The fourth proportional to 857.40, 1,182.43 and 562.83 is: 776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.40 : 1,182.43 = 562.83 : x
  2. Step 2: Convert to fraction form
    857.40/1,182.43 = 562.83/x
  3. Step 3: Cross multiply
    857.40x = 1,182.43 × 562.83
  4. Step 4: Simplify right side
    857.40x = 665,507.08
  5. Step 5: Solve for x
    x = 665,507.08/857.40
  6. Step 6: Final answer
    x = 776.19

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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.