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Finding the Fourth Proportional to 1,092.22, 1,507.76 and 719.40

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Solution

The fourth proportional to 1,092.22, 1,507.76 and 719.40 is: 993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.22 : 1,507.76 = 719.40 : x
  2. Step 2: Convert to fraction form
    1,092.22/1,507.76 = 719.40/x
  3. Step 3: Cross multiply
    1,092.22x = 1,507.76 × 719.40
  4. Step 4: Simplify right side
    1,092.22x = 1,084,682.54
  5. Step 5: Solve for x
    x = 1,084,682.54/1,092.22
  6. Step 6: Final answer
    x = 993.10

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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.