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Finding the Fourth Proportional to 740.27, 1,021.66 and 478.10

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Solution

The fourth proportional to 740.27, 1,021.66 and 478.10 is: 659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.27 : 1,021.66 = 478.10 : x
  2. Step 2: Convert to fraction form
    740.27/1,021.66 = 478.10/x
  3. Step 3: Cross multiply
    740.27x = 1,021.66 × 478.10
  4. Step 4: Simplify right side
    740.27x = 488,449.34
  5. Step 5: Solve for x
    x = 488,449.34/740.27
  6. Step 6: Final answer
    x = 659.83

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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.