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Finding the Fourth Proportional to 1,180.93, 1,628.92 and 932.17

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Solution

The fourth proportional to 1,180.93, 1,628.92 and 932.17 is: 1,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.93 : 1,628.92 = 932.17 : x
  2. Step 2: Convert to fraction form
    1,180.93/1,628.92 = 932.17/x
  3. Step 3: Cross multiply
    1,180.93x = 1,628.92 × 932.17
  4. Step 4: Simplify right side
    1,180.93x = 1,518,430.36
  5. Step 5: Solve for x
    x = 1,518,430.36/1,180.93
  6. Step 6: Final answer
    x = 1,285.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.