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Finding the Fourth Proportional to 1,172.52, 1,758.96 and 808

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Solution

The fourth proportional to 1,172.52, 1,758.96 and 808 is: 1,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.52 : 1,758.96 = 808 : x
  2. Step 2: Convert to fraction form
    1,172.52/1,758.96 = 808/x
  3. Step 3: Cross multiply
    1,172.52x = 1,758.96 × 808
  4. Step 4: Simplify right side
    1,172.52x = 1,421,239.68
  5. Step 5: Solve for x
    x = 1,421,239.68/1,172.52
  6. Step 6: Final answer
    x = 1,212.12

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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.