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Finding the Fourth Proportional to 711.81, 1,065.69 and 556.29

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Solution

The fourth proportional to 711.81, 1,065.69 and 556.29 is: 832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.81 : 1,065.69 = 556.29 : x
  2. Step 2: Convert to fraction form
    711.81/1,065.69 = 556.29/x
  3. Step 3: Cross multiply
    711.81x = 1,065.69 × 556.29
  4. Step 4: Simplify right side
    711.81x = 592,832.69
  5. Step 5: Solve for x
    x = 592,832.69/711.81
  6. Step 6: Final answer
    x = 832.85

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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.