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Finding the Fourth Proportional to 1,398.14, 1,929.58 and 874.34

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Solution

The fourth proportional to 1,398.14, 1,929.58 and 874.34 is: 1,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.14 : 1,929.58 = 874.34 : x
  2. Step 2: Convert to fraction form
    1,398.14/1,929.58 = 874.34/x
  3. Step 3: Cross multiply
    1,398.14x = 1,929.58 × 874.34
  4. Step 4: Simplify right side
    1,398.14x = 1,687,097.14
  5. Step 5: Solve for x
    x = 1,687,097.14/1,398.14
  6. Step 6: Final answer
    x = 1,206.68

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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.