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Finding the Fourth Proportional to 1,302.61, 1,953.86 and 480.83

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Solution

The fourth proportional to 1,302.61, 1,953.86 and 480.83 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.61 : 1,953.86 = 480.83 : x
  2. Step 2: Convert to fraction form
    1,302.61/1,953.86 = 480.83/x
  3. Step 3: Cross multiply
    1,302.61x = 1,953.86 × 480.83
  4. Step 4: Simplify right side
    1,302.61x = 939,472.10
  5. Step 5: Solve for x
    x = 939,472.10/1,302.61
  6. Step 6: Final answer
    x = 721.22

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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.