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Finding the Fourth Proportional to 1,188.25, 1,781.19 and 571.78

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Solution

The fourth proportional to 1,188.25, 1,781.19 and 571.78 is: 857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.25 : 1,781.19 = 571.78 : x
  2. Step 2: Convert to fraction form
    1,188.25/1,781.19 = 571.78/x
  3. Step 3: Cross multiply
    1,188.25x = 1,781.19 × 571.78
  4. Step 4: Simplify right side
    1,188.25x = 1,018,448.82
  5. Step 5: Solve for x
    x = 1,018,448.82/1,188.25
  6. Step 6: Final answer
    x = 857.10

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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.