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Finding the Fourth Proportional to 927.72, 1,281.21 and 802.78

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Solution

The fourth proportional to 927.72, 1,281.21 and 802.78 is: 1,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.72 : 1,281.21 = 802.78 : x
  2. Step 2: Convert to fraction form
    927.72/1,281.21 = 802.78/x
  3. Step 3: Cross multiply
    927.72x = 1,281.21 × 802.78
  4. Step 4: Simplify right side
    927.72x = 1,028,529.76
  5. Step 5: Solve for x
    x = 1,028,529.76/927.72
  6. Step 6: Final answer
    x = 1,108.66

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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.