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Finding the Fourth Proportional to 1,302.51, 1,953.94 and 480.57

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Solution

The fourth proportional to 1,302.51, 1,953.94 and 480.57 is: 720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.51 : 1,953.94 = 480.57 : x
  2. Step 2: Convert to fraction form
    1,302.51/1,953.94 = 480.57/x
  3. Step 3: Cross multiply
    1,302.51x = 1,953.94 × 480.57
  4. Step 4: Simplify right side
    1,302.51x = 938,998.22
  5. Step 5: Solve for x
    x = 938,998.22/1,302.51
  6. Step 6: Final answer
    x = 720.91

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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.