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Finding the Fourth Proportional to 709.37, 1,065.06 and 401.15

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Solution

The fourth proportional to 709.37, 1,065.06 and 401.15 is: 602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.37 : 1,065.06 = 401.15 : x
  2. Step 2: Convert to fraction form
    709.37/1,065.06 = 401.15/x
  3. Step 3: Cross multiply
    709.37x = 1,065.06 × 401.15
  4. Step 4: Simplify right side
    709.37x = 427,248.82
  5. Step 5: Solve for x
    x = 427,248.82/709.37
  6. Step 6: Final answer
    x = 602.29

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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.