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Finding the Fourth Proportional to 1,071.13, 1,607.07 and 486.26

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Solution

The fourth proportional to 1,071.13, 1,607.07 and 486.26 is: 729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.13 : 1,607.07 = 486.26 : x
  2. Step 2: Convert to fraction form
    1,071.13/1,607.07 = 486.26/x
  3. Step 3: Cross multiply
    1,071.13x = 1,607.07 × 486.26
  4. Step 4: Simplify right side
    1,071.13x = 781,453.86
  5. Step 5: Solve for x
    x = 781,453.86/1,071.13
  6. Step 6: Final answer
    x = 729.56

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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.