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Finding the Fourth Proportional to 690.65, 1,034.21 and 382.16

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Solution

The fourth proportional to 690.65, 1,034.21 and 382.16 is: 572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.65 : 1,034.21 = 382.16 : x
  2. Step 2: Convert to fraction form
    690.65/1,034.21 = 382.16/x
  3. Step 3: Cross multiply
    690.65x = 1,034.21 × 382.16
  4. Step 4: Simplify right side
    690.65x = 395,233.69
  5. Step 5: Solve for x
    x = 395,233.69/690.65
  6. Step 6: Final answer
    x = 572.26

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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.