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Finding the Fourth Proportional to 1,301.24, 1,951.79 and 479.45

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Solution

The fourth proportional to 1,301.24, 1,951.79 and 479.45 is: 719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.24 : 1,951.79 = 479.45 : x
  2. Step 2: Convert to fraction form
    1,301.24/1,951.79 = 479.45/x
  3. Step 3: Cross multiply
    1,301.24x = 1,951.79 × 479.45
  4. Step 4: Simplify right side
    1,301.24x = 935,791.79
  5. Step 5: Solve for x
    x = 935,791.79/1,301.24
  6. Step 6: Final answer
    x = 719.16

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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.