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Finding the Fourth Proportional to 690.58, 1,034.49 and 416.52

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Solution

The fourth proportional to 690.58, 1,034.49 and 416.52 is: 623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.58 : 1,034.49 = 416.52 : x
  2. Step 2: Convert to fraction form
    690.58/1,034.49 = 416.52/x
  3. Step 3: Cross multiply
    690.58x = 1,034.49 × 416.52
  4. Step 4: Simplify right side
    690.58x = 430,885.77
  5. Step 5: Solve for x
    x = 430,885.77/690.58
  6. Step 6: Final answer
    x = 623.95

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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.