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Finding the Fourth Proportional to 1,141.33, 1,575.06 and 699.47

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Solution

The fourth proportional to 1,141.33, 1,575.06 and 699.47 is: 965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.33 : 1,575.06 = 699.47 : x
  2. Step 2: Convert to fraction form
    1,141.33/1,575.06 = 699.47/x
  3. Step 3: Cross multiply
    1,141.33x = 1,575.06 × 699.47
  4. Step 4: Simplify right side
    1,141.33x = 1,101,707.22
  5. Step 5: Solve for x
    x = 1,101,707.22/1,141.33
  6. Step 6: Final answer
    x = 965.28

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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.