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Finding the Fourth Proportional to 1,301.58, 1,953.14 and 480.43

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Solution

The fourth proportional to 1,301.58, 1,953.14 and 480.43 is: 720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.58 : 1,953.14 = 480.43 : x
  2. Step 2: Convert to fraction form
    1,301.58/1,953.14 = 480.43/x
  3. Step 3: Cross multiply
    1,301.58x = 1,953.14 × 480.43
  4. Step 4: Simplify right side
    1,301.58x = 938,343.37
  5. Step 5: Solve for x
    x = 938,343.37/1,301.58
  6. Step 6: Final answer
    x = 720.93

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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.