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Finding the Fourth Proportional to 1,302.38, 1,952.96 and 436.08

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Solution

The fourth proportional to 1,302.38, 1,952.96 and 436.08 is: 653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.38 : 1,952.96 = 436.08 : x
  2. Step 2: Convert to fraction form
    1,302.38/1,952.96 = 436.08/x
  3. Step 3: Cross multiply
    1,302.38x = 1,952.96 × 436.08
  4. Step 4: Simplify right side
    1,302.38x = 851,644.62
  5. Step 5: Solve for x
    x = 851,644.62/1,302.38
  6. Step 6: Final answer
    x = 653.92

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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.