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Finding the Fourth Proportional to 1,079.13, 1,489.91 and 830.01

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Solution

The fourth proportional to 1,079.13, 1,489.91 and 830.01 is: 1,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.13 : 1,489.91 = 830.01 : x
  2. Step 2: Convert to fraction form
    1,079.13/1,489.91 = 830.01/x
  3. Step 3: Cross multiply
    1,079.13x = 1,489.91 × 830.01
  4. Step 4: Simplify right side
    1,079.13x = 1,236,636.05
  5. Step 5: Solve for x
    x = 1,236,636.05/1,079.13
  6. Step 6: Final answer
    x = 1,145.96

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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.