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Finding the Fourth Proportional to 1,302.29, 1,952.84 and 480.53

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Solution

The fourth proportional to 1,302.29, 1,952.84 and 480.53 is: 720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.29 : 1,952.84 = 480.53 : x
  2. Step 2: Convert to fraction form
    1,302.29/1,952.84 = 480.53/x
  3. Step 3: Cross multiply
    1,302.29x = 1,952.84 × 480.53
  4. Step 4: Simplify right side
    1,302.29x = 938,395.80
  5. Step 5: Solve for x
    x = 938,395.80/1,302.29
  6. Step 6: Final answer
    x = 720.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.