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Finding the Fourth Proportional to 1,301.46, 1,952.16 and 479.70

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Solution

The fourth proportional to 1,301.46, 1,952.16 and 479.70 is: 719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.46 : 1,952.16 = 479.70 : x
  2. Step 2: Convert to fraction form
    1,301.46/1,952.16 = 479.70/x
  3. Step 3: Cross multiply
    1,301.46x = 1,952.16 × 479.70
  4. Step 4: Simplify right side
    1,301.46x = 936,451.15
  5. Step 5: Solve for x
    x = 936,451.15/1,301.46
  6. Step 6: Final answer
    x = 719.54

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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.