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Finding the Fourth Proportional to 1,039.29, 1,434.11 and 708.14

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Solution

The fourth proportional to 1,039.29, 1,434.11 and 708.14 is: 977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.29 : 1,434.11 = 708.14 : x
  2. Step 2: Convert to fraction form
    1,039.29/1,434.11 = 708.14/x
  3. Step 3: Cross multiply
    1,039.29x = 1,434.11 × 708.14
  4. Step 4: Simplify right side
    1,039.29x = 1,015,539.94
  5. Step 5: Solve for x
    x = 1,015,539.94/1,039.29
  6. Step 6: Final answer
    x = 977.15

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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.