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Finding the Fourth Proportional to 690.49, 1,035.05 and 458.80

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Solution

The fourth proportional to 690.49, 1,035.05 and 458.80 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.49 : 1,035.05 = 458.80 : x
  2. Step 2: Convert to fraction form
    690.49/1,035.05 = 458.80/x
  3. Step 3: Cross multiply
    690.49x = 1,035.05 × 458.80
  4. Step 4: Simplify right side
    690.49x = 474,876.06
  5. Step 5: Solve for x
    x = 474,876.06/690.49
  6. Step 6: Final answer
    x = 687.74

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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.