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Finding the Fourth Proportional to 1,302.83, 1,953.05 and 480.53

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Solution

The fourth proportional to 1,302.83, 1,953.05 and 480.53 is: 720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.83 : 1,953.05 = 480.53 : x
  2. Step 2: Convert to fraction form
    1,302.83/1,953.05 = 480.53/x
  3. Step 3: Cross multiply
    1,302.83x = 1,953.05 × 480.53
  4. Step 4: Simplify right side
    1,302.83x = 938,499.12
  5. Step 5: Solve for x
    x = 938,499.12/1,302.83
  6. Step 6: Final answer
    x = 720.35

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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.