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Finding the Fourth Proportional to 740.69, 1,022.16 and 425.96

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Solution

The fourth proportional to 740.69, 1,022.16 and 425.96 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.69 : 1,022.16 = 425.96 : x
  2. Step 2: Convert to fraction form
    740.69/1,022.16 = 425.96/x
  3. Step 3: Cross multiply
    740.69x = 1,022.16 × 425.96
  4. Step 4: Simplify right side
    740.69x = 435,392.03
  5. Step 5: Solve for x
    x = 435,392.03/740.69
  6. Step 6: Final answer
    x = 587.82

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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.