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Finding the Fourth Proportional to 1,167.04, 1,746.88 and 799.68

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Solution

The fourth proportional to 1,167.04, 1,746.88 and 799.68 is: 1,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.04 : 1,746.88 = 799.68 : x
  2. Step 2: Convert to fraction form
    1,167.04/1,746.88 = 799.68/x
  3. Step 3: Cross multiply
    1,167.04x = 1,746.88 × 799.68
  4. Step 4: Simplify right side
    1,167.04x = 1,396,945.00
  5. Step 5: Solve for x
    x = 1,396,945.00/1,167.04
  6. Step 6: Final answer
    x = 1,197.00

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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.