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Finding the Fourth Proportional to 1,018.62, 1,402.65 and 797.09

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Solution

The fourth proportional to 1,018.62, 1,402.65 and 797.09 is: 1,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.62 : 1,402.65 = 797.09 : x
  2. Step 2: Convert to fraction form
    1,018.62/1,402.65 = 797.09/x
  3. Step 3: Cross multiply
    1,018.62x = 1,402.65 × 797.09
  4. Step 4: Simplify right side
    1,018.62x = 1,118,031.28
  5. Step 5: Solve for x
    x = 1,118,031.28/1,018.62
  6. Step 6: Final answer
    x = 1,097.59

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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.