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Finding the Fourth Proportional to 689.90, 1,035.21 and 365.19

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Solution

The fourth proportional to 689.90, 1,035.21 and 365.19 is: 547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.90 : 1,035.21 = 365.19 : x
  2. Step 2: Convert to fraction form
    689.90/1,035.21 = 365.19/x
  3. Step 3: Cross multiply
    689.90x = 1,035.21 × 365.19
  4. Step 4: Simplify right side
    689.90x = 378,048.34
  5. Step 5: Solve for x
    x = 378,048.34/689.90
  6. Step 6: Final answer
    x = 547.98

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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.