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Finding the Fourth Proportional to 1,040.74, 1,435.27 and 709.62

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Solution

The fourth proportional to 1,040.74, 1,435.27 and 709.62 is: 978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.74 : 1,435.27 = 709.62 : x
  2. Step 2: Convert to fraction form
    1,040.74/1,435.27 = 709.62/x
  3. Step 3: Cross multiply
    1,040.74x = 1,435.27 × 709.62
  4. Step 4: Simplify right side
    1,040.74x = 1,018,496.30
  5. Step 5: Solve for x
    x = 1,018,496.30/1,040.74
  6. Step 6: Final answer
    x = 978.63

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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.