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Finding the Fourth Proportional to 1,094.71, 1,640.99 and 703.61

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Solution

The fourth proportional to 1,094.71, 1,640.99 and 703.61 is: 1,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.71 : 1,640.99 = 703.61 : x
  2. Step 2: Convert to fraction form
    1,094.71/1,640.99 = 703.61/x
  3. Step 3: Cross multiply
    1,094.71x = 1,640.99 × 703.61
  4. Step 4: Simplify right side
    1,094.71x = 1,154,616.97
  5. Step 5: Solve for x
    x = 1,154,616.97/1,094.71
  6. Step 6: Final answer
    x = 1,054.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.