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Finding the Fourth Proportional to 690.22, 1,034.02 and 458.41

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Solution

The fourth proportional to 690.22, 1,034.02 and 458.41 is: 686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.22 : 1,034.02 = 458.41 : x
  2. Step 2: Convert to fraction form
    690.22/1,034.02 = 458.41/x
  3. Step 3: Cross multiply
    690.22x = 1,034.02 × 458.41
  4. Step 4: Simplify right side
    690.22x = 474,002.46
  5. Step 5: Solve for x
    x = 474,002.46/690.22
  6. Step 6: Final answer
    x = 686.74

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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.