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Finding the Fourth Proportional to 690.22, 1,035.71 and 459.21

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Solution

The fourth proportional to 690.22, 1,035.71 and 459.21 is: 689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.22 : 1,035.71 = 459.21 : x
  2. Step 2: Convert to fraction form
    690.22/1,035.71 = 459.21/x
  3. Step 3: Cross multiply
    690.22x = 1,035.71 × 459.21
  4. Step 4: Simplify right side
    690.22x = 475,608.39
  5. Step 5: Solve for x
    x = 475,608.39/690.22
  6. Step 6: Final answer
    x = 689.07

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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.