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Finding the Fourth Proportional to 711.42, 1,065.96 and 345.48

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Solution

The fourth proportional to 711.42, 1,065.96 and 345.48 is: 517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.42 : 1,065.96 = 345.48 : x
  2. Step 2: Convert to fraction form
    711.42/1,065.96 = 345.48/x
  3. Step 3: Cross multiply
    711.42x = 1,065.96 × 345.48
  4. Step 4: Simplify right side
    711.42x = 368,267.86
  5. Step 5: Solve for x
    x = 368,267.86/711.42
  6. Step 6: Final answer
    x = 517.65

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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.