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Finding the Fourth Proportional to 1,302.88, 1,954.53 and 436.99

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Solution

The fourth proportional to 1,302.88, 1,954.53 and 436.99 is: 655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.88 : 1,954.53 = 436.99 : x
  2. Step 2: Convert to fraction form
    1,302.88/1,954.53 = 436.99/x
  3. Step 3: Cross multiply
    1,302.88x = 1,954.53 × 436.99
  4. Step 4: Simplify right side
    1,302.88x = 854,112.70
  5. Step 5: Solve for x
    x = 854,112.70/1,302.88
  6. Step 6: Final answer
    x = 655.56

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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.