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Finding the Fourth Proportional to 689.32, 1,034.14 and 364.68

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Solution

The fourth proportional to 689.32, 1,034.14 and 364.68 is: 547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.32 : 1,034.14 = 364.68 : x
  2. Step 2: Convert to fraction form
    689.32/1,034.14 = 364.68/x
  3. Step 3: Cross multiply
    689.32x = 1,034.14 × 364.68
  4. Step 4: Simplify right side
    689.32x = 377,130.18
  5. Step 5: Solve for x
    x = 377,130.18/689.32
  6. Step 6: Final answer
    x = 547.10

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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.