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Finding the Fourth Proportional to 690.14, 1,035.75 and 416.54

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Solution

The fourth proportional to 690.14, 1,035.75 and 416.54 is: 625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.14 : 1,035.75 = 416.54 : x
  2. Step 2: Convert to fraction form
    690.14/1,035.75 = 416.54/x
  3. Step 3: Cross multiply
    690.14x = 1,035.75 × 416.54
  4. Step 4: Simplify right side
    690.14x = 431,431.31
  5. Step 5: Solve for x
    x = 431,431.31/690.14
  6. Step 6: Final answer
    x = 625.14

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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.