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Finding the Fourth Proportional to 689.54, 1,034.00 and 429.14

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Solution

The fourth proportional to 689.54, 1,034.00 and 429.14 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.54 : 1,034.00 = 429.14 : x
  2. Step 2: Convert to fraction form
    689.54/1,034.00 = 429.14/x
  3. Step 3: Cross multiply
    689.54x = 1,034.00 × 429.14
  4. Step 4: Simplify right side
    689.54x = 443,732.81
  5. Step 5: Solve for x
    x = 443,732.81/689.54
  6. Step 6: Final answer
    x = 643.52

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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.