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Finding the Fourth Proportional to 690.99, 1,036.27 and 228.66

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Solution

The fourth proportional to 690.99, 1,036.27 and 228.66 is: 342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.99 : 1,036.27 = 228.66 : x
  2. Step 2: Convert to fraction form
    690.99/1,036.27 = 228.66/x
  3. Step 3: Cross multiply
    690.99x = 1,036.27 × 228.66
  4. Step 4: Simplify right side
    690.99x = 236,953.78
  5. Step 5: Solve for x
    x = 236,953.78/690.99
  6. Step 6: Final answer
    x = 342.92

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