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Finding the Fourth Proportional to 1,167.98, 1,759.97 and 967.03

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Solution

The fourth proportional to 1,167.98, 1,759.97 and 967.03 is: 1,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.98 : 1,759.97 = 967.03 : x
  2. Step 2: Convert to fraction form
    1,167.98/1,759.97 = 967.03/x
  3. Step 3: Cross multiply
    1,167.98x = 1,759.97 × 967.03
  4. Step 4: Simplify right side
    1,167.98x = 1,701,941.81
  5. Step 5: Solve for x
    x = 1,701,941.81/1,167.98
  6. Step 6: Final answer
    x = 1,457.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.