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Finding the Fourth Proportional to 1,314.41, 1,971.88 and 436.97

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Solution

The fourth proportional to 1,314.41, 1,971.88 and 436.97 is: 655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.41 : 1,971.88 = 436.97 : x
  2. Step 2: Convert to fraction form
    1,314.41/1,971.88 = 436.97/x
  3. Step 3: Cross multiply
    1,314.41x = 1,971.88 × 436.97
  4. Step 4: Simplify right side
    1,314.41x = 861,656.24
  5. Step 5: Solve for x
    x = 861,656.24/1,314.41
  6. Step 6: Final answer
    x = 655.55

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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.