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Finding the Fourth Proportional to 927.06, 1,278.75 and 705.52

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Solution

The fourth proportional to 927.06, 1,278.75 and 705.52 is: 973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.06 : 1,278.75 = 705.52 : x
  2. Step 2: Convert to fraction form
    927.06/1,278.75 = 705.52/x
  3. Step 3: Cross multiply
    927.06x = 1,278.75 × 705.52
  4. Step 4: Simplify right side
    927.06x = 902,183.70
  5. Step 5: Solve for x
    x = 902,183.70/927.06
  6. Step 6: Final answer
    x = 973.17

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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.