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Finding the Fourth Proportional to 926.60, 1,384.10 and 922.28

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Solution

The fourth proportional to 926.60, 1,384.10 and 922.28 is: 1,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.60 : 1,384.10 = 922.28 : x
  2. Step 2: Convert to fraction form
    926.60/1,384.10 = 922.28/x
  3. Step 3: Cross multiply
    926.60x = 1,384.10 × 922.28
  4. Step 4: Simplify right side
    926.60x = 1,276,527.75
  5. Step 5: Solve for x
    x = 1,276,527.75/926.60
  6. Step 6: Final answer
    x = 1,377.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.