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Finding the Fourth Proportional to 1,398.61, 2,097 and 782.38

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Solution

The fourth proportional to 1,398.61, 2,097 and 782.38 is: 1,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.61 : 2,097 = 782.38 : x
  2. Step 2: Convert to fraction form
    1,398.61/2,097 = 782.38/x
  3. Step 3: Cross multiply
    1,398.61x = 2,097 × 782.38
  4. Step 4: Simplify right side
    1,398.61x = 1,640,650.86
  5. Step 5: Solve for x
    x = 1,640,650.86/1,398.61
  6. Step 6: Final answer
    x = 1,173.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.