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Finding the Fourth Proportional to 1,167.81, 1,759.75 and 966.90

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Solution

The fourth proportional to 1,167.81, 1,759.75 and 966.90 is: 1,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.81 : 1,759.75 = 966.90 : x
  2. Step 2: Convert to fraction form
    1,167.81/1,759.75 = 966.90/x
  3. Step 3: Cross multiply
    1,167.81x = 1,759.75 × 966.90
  4. Step 4: Simplify right side
    1,167.81x = 1,701,502.28
  5. Step 5: Solve for x
    x = 1,701,502.28/1,167.81
  6. Step 6: Final answer
    x = 1,457.00

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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.