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Finding the Fourth Proportional to 690.76, 1,036.18 and 203.82

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Solution

The fourth proportional to 690.76, 1,036.18 and 203.82 is: 305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.76 : 1,036.18 = 203.82 : x
  2. Step 2: Convert to fraction form
    690.76/1,036.18 = 203.82/x
  3. Step 3: Cross multiply
    690.76x = 1,036.18 × 203.82
  4. Step 4: Simplify right side
    690.76x = 211,194.21
  5. Step 5: Solve for x
    x = 211,194.21/690.76
  6. Step 6: Final answer
    x = 305.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.