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Finding the Fourth Proportional to 1,302.27, 1,952.99 and 436.38

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Solution

The fourth proportional to 1,302.27, 1,952.99 and 436.38 is: 654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.27 : 1,952.99 = 436.38 : x
  2. Step 2: Convert to fraction form
    1,302.27/1,952.99 = 436.38/x
  3. Step 3: Cross multiply
    1,302.27x = 1,952.99 × 436.38
  4. Step 4: Simplify right side
    1,302.27x = 852,237.10
  5. Step 5: Solve for x
    x = 852,237.10/1,302.27
  6. Step 6: Final answer
    x = 654.43

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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.