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Finding the Fourth Proportional to 740.59, 1,022.10 and 425.96

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Solution

The fourth proportional to 740.59, 1,022.10 and 425.96 is: 587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.59 : 1,022.10 = 425.96 : x
  2. Step 2: Convert to fraction form
    740.59/1,022.10 = 425.96/x
  3. Step 3: Cross multiply
    740.59x = 1,022.10 × 425.96
  4. Step 4: Simplify right side
    740.59x = 435,370.84
  5. Step 5: Solve for x
    x = 435,370.84/740.59
  6. Step 6: Final answer
    x = 587.87

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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.