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Finding the Fourth Proportional to 740.29, 1,021.26 and 478.39

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Solution

The fourth proportional to 740.29, 1,021.26 and 478.39 is: 659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.29 : 1,021.26 = 478.39 : x
  2. Step 2: Convert to fraction form
    740.29/1,021.26 = 478.39/x
  3. Step 3: Cross multiply
    740.29x = 1,021.26 × 478.39
  4. Step 4: Simplify right side
    740.29x = 488,560.57
  5. Step 5: Solve for x
    x = 488,560.57/740.29
  6. Step 6: Final answer
    x = 659.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.