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Finding the Fourth Proportional to 710.41, 1,063.37 and 401.35

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Solution

The fourth proportional to 710.41, 1,063.37 and 401.35 is: 600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.41 : 1,063.37 = 401.35 : x
  2. Step 2: Convert to fraction form
    710.41/1,063.37 = 401.35/x
  3. Step 3: Cross multiply
    710.41x = 1,063.37 × 401.35
  4. Step 4: Simplify right side
    710.41x = 426,781.89
  5. Step 5: Solve for x
    x = 426,781.89/710.41
  6. Step 6: Final answer
    x = 600.75

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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.