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Finding the Fourth Proportional to 1,314.61, 1,972.11 and 436.83

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Solution

The fourth proportional to 1,314.61, 1,972.11 and 436.83 is: 655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.61 : 1,972.11 = 436.83 : x
  2. Step 2: Convert to fraction form
    1,314.61/1,972.11 = 436.83/x
  3. Step 3: Cross multiply
    1,314.61x = 1,972.11 × 436.83
  4. Step 4: Simplify right side
    1,314.61x = 861,468.60
  5. Step 5: Solve for x
    x = 861,468.60/1,314.61
  6. Step 6: Final answer
    x = 655.30

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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.