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Finding the Fourth Proportional to 1,014.34, 1,400.78 and 700.41

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Solution

The fourth proportional to 1,014.34, 1,400.78 and 700.41 is: 967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.34 : 1,400.78 = 700.41 : x
  2. Step 2: Convert to fraction form
    1,014.34/1,400.78 = 700.41/x
  3. Step 3: Cross multiply
    1,014.34x = 1,400.78 × 700.41
  4. Step 4: Simplify right side
    1,014.34x = 981,127.32
  5. Step 5: Solve for x
    x = 981,127.32/1,014.34
  6. Step 6: Final answer
    x = 967.26

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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.