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Finding the Fourth Proportional to 680.61, 1,020.26 and 368.35

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Solution

The fourth proportional to 680.61, 1,020.26 and 368.35 is: 552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.61 : 1,020.26 = 368.35 : x
  2. Step 2: Convert to fraction form
    680.61/1,020.26 = 368.35/x
  3. Step 3: Cross multiply
    680.61x = 1,020.26 × 368.35
  4. Step 4: Simplify right side
    680.61x = 375,816.04
  5. Step 5: Solve for x
    x = 375,816.04/680.61
  6. Step 6: Final answer
    x = 552.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.