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Finding the Fourth Proportional to 1,314.21, 1,971.07 and 436.73

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Solution

The fourth proportional to 1,314.21, 1,971.07 and 436.73 is: 655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.21 : 1,971.07 = 436.73 : x
  2. Step 2: Convert to fraction form
    1,314.21/1,971.07 = 436.73/x
  3. Step 3: Cross multiply
    1,314.21x = 1,971.07 × 436.73
  4. Step 4: Simplify right side
    1,314.21x = 860,824.61
  5. Step 5: Solve for x
    x = 860,824.61/1,314.21
  6. Step 6: Final answer
    x = 655.01

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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.