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Finding the Fourth Proportional to 1,342.82, 1,851.39 and 869.93

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Solution

The fourth proportional to 1,342.82, 1,851.39 and 869.93 is: 1,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.82 : 1,851.39 = 869.93 : x
  2. Step 2: Convert to fraction form
    1,342.82/1,851.39 = 869.93/x
  3. Step 3: Cross multiply
    1,342.82x = 1,851.39 × 869.93
  4. Step 4: Simplify right side
    1,342.82x = 1,610,579.70
  5. Step 5: Solve for x
    x = 1,610,579.70/1,342.82
  6. Step 6: Final answer
    x = 1,199.40

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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.