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Finding the Fourth Proportional to 1,384.61, 1,910.68 and 794.73

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Solution

The fourth proportional to 1,384.61, 1,910.68 and 794.73 is: 1,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.61 : 1,910.68 = 794.73 : x
  2. Step 2: Convert to fraction form
    1,384.61/1,910.68 = 794.73/x
  3. Step 3: Cross multiply
    1,384.61x = 1,910.68 × 794.73
  4. Step 4: Simplify right side
    1,384.61x = 1,518,470.74
  5. Step 5: Solve for x
    x = 1,518,470.74/1,384.61
  6. Step 6: Final answer
    x = 1,096.68

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1.5x scale

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.