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Finding the Fourth Proportional to 689.40, 1,034.45 and 458.45

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Solution

The fourth proportional to 689.40, 1,034.45 and 458.45 is: 687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.40 : 1,034.45 = 458.45 : x
  2. Step 2: Convert to fraction form
    689.40/1,034.45 = 458.45/x
  3. Step 3: Cross multiply
    689.40x = 1,034.45 × 458.45
  4. Step 4: Simplify right side
    689.40x = 474,243.60
  5. Step 5: Solve for x
    x = 474,243.60/689.40
  6. Step 6: Final answer
    x = 687.91

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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.