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Finding the Fourth Proportional to 709.96, 1,065.34 and 385.35

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Solution

The fourth proportional to 709.96, 1,065.34 and 385.35 is: 578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.96 : 1,065.34 = 385.35 : x
  2. Step 2: Convert to fraction form
    709.96/1,065.34 = 385.35/x
  3. Step 3: Cross multiply
    709.96x = 1,065.34 × 385.35
  4. Step 4: Simplify right side
    709.96x = 410,528.77
  5. Step 5: Solve for x
    x = 410,528.77/709.96
  6. Step 6: Final answer
    x = 578.25

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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.