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Finding the Fourth Proportional to 1,681.75, 2,522.63 and 655.75

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Solution

The fourth proportional to 1,681.75, 2,522.63 and 655.75 is: 983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.75 : 2,522.63 = 655.75 : x
  2. Step 2: Convert to fraction form
    1,681.75/2,522.63 = 655.75/x
  3. Step 3: Cross multiply
    1,681.75x = 2,522.63 × 655.75
  4. Step 4: Simplify right side
    1,681.75x = 1,654,214.62
  5. Step 5: Solve for x
    x = 1,654,214.62/1,681.75
  6. Step 6: Final answer
    x = 983.63

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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.