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Finding the Fourth Proportional to 690.91, 1,034.76 and 416.39

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Solution

The fourth proportional to 690.91, 1,034.76 and 416.39 is: 623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.91 : 1,034.76 = 416.39 : x
  2. Step 2: Convert to fraction form
    690.91/1,034.76 = 416.39/x
  3. Step 3: Cross multiply
    690.91x = 1,034.76 × 416.39
  4. Step 4: Simplify right side
    690.91x = 430,863.72
  5. Step 5: Solve for x
    x = 430,863.72/690.91
  6. Step 6: Final answer
    x = 623.62

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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.