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Finding the Fourth Proportional to 680.40, 1,020.06 and 356.40

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Solution

The fourth proportional to 680.40, 1,020.06 and 356.40 is: 534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.40 : 1,020.06 = 356.40 : x
  2. Step 2: Convert to fraction form
    680.40/1,020.06 = 356.40/x
  3. Step 3: Cross multiply
    680.40x = 1,020.06 × 356.40
  4. Step 4: Simplify right side
    680.40x = 363,549.38
  5. Step 5: Solve for x
    x = 363,549.38/680.40
  6. Step 6: Final answer
    x = 534.32

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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.