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Finding the Fourth Proportional to 1,397.92, 1,929.18 and 768.46

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Solution

The fourth proportional to 1,397.92, 1,929.18 and 768.46 is: 1,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.92 : 1,929.18 = 768.46 : x
  2. Step 2: Convert to fraction form
    1,397.92/1,929.18 = 768.46/x
  3. Step 3: Cross multiply
    1,397.92x = 1,929.18 × 768.46
  4. Step 4: Simplify right side
    1,397.92x = 1,482,497.66
  5. Step 5: Solve for x
    x = 1,482,497.66/1,397.92
  6. Step 6: Final answer
    x = 1,060.50

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