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Finding the Fourth Proportional to 1,092.34, 1,507.58 and 699.49

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Solution

The fourth proportional to 1,092.34, 1,507.58 and 699.49 is: 965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.34 : 1,507.58 = 699.49 : x
  2. Step 2: Convert to fraction form
    1,092.34/1,507.58 = 699.49/x
  3. Step 3: Cross multiply
    1,092.34x = 1,507.58 × 699.49
  4. Step 4: Simplify right side
    1,092.34x = 1,054,537.13
  5. Step 5: Solve for x
    x = 1,054,537.13/1,092.34
  6. Step 6: Final answer
    x = 965.39

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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.