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Finding the Fourth Proportional to 690.02, 1,032.50 and 382.17

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Solution

The fourth proportional to 690.02, 1,032.50 and 382.17 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.02 : 1,032.50 = 382.17 : x
  2. Step 2: Convert to fraction form
    690.02/1,032.50 = 382.17/x
  3. Step 3: Cross multiply
    690.02x = 1,032.50 × 382.17
  4. Step 4: Simplify right side
    690.02x = 394,587.39
  5. Step 5: Solve for x
    x = 394,587.39/690.02
  6. Step 6: Final answer
    x = 571.85

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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.