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Finding the Fourth Proportional to 914.32, 1,370.28 and 798.49

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Solution

The fourth proportional to 914.32, 1,370.28 and 798.49 is: 1,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.32 : 1,370.28 = 798.49 : x
  2. Step 2: Convert to fraction form
    914.32/1,370.28 = 798.49/x
  3. Step 3: Cross multiply
    914.32x = 1,370.28 × 798.49
  4. Step 4: Simplify right side
    914.32x = 1,094,148.03
  5. Step 5: Solve for x
    x = 1,094,148.03/914.32
  6. Step 6: Final answer
    x = 1,196.69

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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.