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Finding the Fourth Proportional to 1,119.69, 1,677.65 and 709.29

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Solution

The fourth proportional to 1,119.69, 1,677.65 and 709.29 is: 1,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.69 : 1,677.65 = 709.29 : x
  2. Step 2: Convert to fraction form
    1,119.69/1,677.65 = 709.29/x
  3. Step 3: Cross multiply
    1,119.69x = 1,677.65 × 709.29
  4. Step 4: Simplify right side
    1,119.69x = 1,189,936.82
  5. Step 5: Solve for x
    x = 1,189,936.82/1,119.69
  6. Step 6: Final answer
    x = 1,062.74

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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.