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Finding the Fourth Proportional to 689.41, 1,036.01 and 365.01

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Solution

The fourth proportional to 689.41, 1,036.01 and 365.01 is: 548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.41 : 1,036.01 = 365.01 : x
  2. Step 2: Convert to fraction form
    689.41/1,036.01 = 365.01/x
  3. Step 3: Cross multiply
    689.41x = 1,036.01 × 365.01
  4. Step 4: Simplify right side
    689.41x = 378,154.01
  5. Step 5: Solve for x
    x = 378,154.01/689.41
  6. Step 6: Final answer
    x = 548.52

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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.