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Finding the Fourth Proportional to 1,010.94, 1,395.64 and 709.03

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Solution

The fourth proportional to 1,010.94, 1,395.64 and 709.03 is: 978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.94 : 1,395.64 = 709.03 : x
  2. Step 2: Convert to fraction form
    1,010.94/1,395.64 = 709.03/x
  3. Step 3: Cross multiply
    1,010.94x = 1,395.64 × 709.03
  4. Step 4: Simplify right side
    1,010.94x = 989,554.54
  5. Step 5: Solve for x
    x = 989,554.54/1,010.94
  6. Step 6: Final answer
    x = 978.85

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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.