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Finding the Fourth Proportional to 1,177.12, 1,762.32 and 934

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Solution

The fourth proportional to 1,177.12, 1,762.32 and 934 is: 1,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.12 : 1,762.32 = 934 : x
  2. Step 2: Convert to fraction form
    1,177.12/1,762.32 = 934/x
  3. Step 3: Cross multiply
    1,177.12x = 1,762.32 × 934
  4. Step 4: Simplify right side
    1,177.12x = 1,646,006.88
  5. Step 5: Solve for x
    x = 1,646,006.88/1,177.12
  6. Step 6: Final answer
    x = 1,398.33

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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.