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Finding the Fourth Proportional to 1,172.33, 1,758.50 and 806.02

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Solution

The fourth proportional to 1,172.33, 1,758.50 and 806.02 is: 1,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.33 : 1,758.50 = 806.02 : x
  2. Step 2: Convert to fraction form
    1,172.33/1,758.50 = 806.02/x
  3. Step 3: Cross multiply
    1,172.33x = 1,758.50 × 806.02
  4. Step 4: Simplify right side
    1,172.33x = 1,417,386.17
  5. Step 5: Solve for x
    x = 1,417,386.17/1,172.33
  6. Step 6: Final answer
    x = 1,209.03

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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.