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Finding the Fourth Proportional to 857.32, 1,182.70 and 503.25

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Solution

The fourth proportional to 857.32, 1,182.70 and 503.25 is: 694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.32 : 1,182.70 = 503.25 : x
  2. Step 2: Convert to fraction form
    857.32/1,182.70 = 503.25/x
  3. Step 3: Cross multiply
    857.32x = 1,182.70 × 503.25
  4. Step 4: Simplify right side
    857.32x = 595,189.97
  5. Step 5: Solve for x
    x = 595,189.97/857.32
  6. Step 6: Final answer
    x = 694.25

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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.