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Finding the Fourth Proportional to 680.06, 1,020.18 and 436.16

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Solution

The fourth proportional to 680.06, 1,020.18 and 436.16 is: 654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 1,020.18 = 436.16 : x
  2. Step 2: Convert to fraction form
    680.06/1,020.18 = 436.16/x
  3. Step 3: Cross multiply
    680.06x = 1,020.18 × 436.16
  4. Step 4: Simplify right side
    680.06x = 444,961.71
  5. Step 5: Solve for x
    x = 444,961.71/680.06
  6. Step 6: Final answer
    x = 654.30

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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.