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Finding the Fourth Proportional to 927.56, 1,278.24 and 706.16

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Solution

The fourth proportional to 927.56, 1,278.24 and 706.16 is: 973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.56 : 1,278.24 = 706.16 : x
  2. Step 2: Convert to fraction form
    927.56/1,278.24 = 706.16/x
  3. Step 3: Cross multiply
    927.56x = 1,278.24 × 706.16
  4. Step 4: Simplify right side
    927.56x = 902,641.96
  5. Step 5: Solve for x
    x = 902,641.96/927.56
  6. Step 6: Final answer
    x = 973.14

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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.