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Finding the Fourth Proportional to 1,217.93, 1,680.59 and 720.45

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Solution

The fourth proportional to 1,217.93, 1,680.59 and 720.45 is: 994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.93 : 1,680.59 = 720.45 : x
  2. Step 2: Convert to fraction form
    1,217.93/1,680.59 = 720.45/x
  3. Step 3: Cross multiply
    1,217.93x = 1,680.59 × 720.45
  4. Step 4: Simplify right side
    1,217.93x = 1,210,782.87
  5. Step 5: Solve for x
    x = 1,210,782.87/1,217.93
  6. Step 6: Final answer
    x = 994.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.