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Finding the Fourth Proportional to 711.20, 1,061.99 and 581.45

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Solution

The fourth proportional to 711.20, 1,061.99 and 581.45 is: 868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.20 : 1,061.99 = 581.45 : x
  2. Step 2: Convert to fraction form
    711.20/1,061.99 = 581.45/x
  3. Step 3: Cross multiply
    711.20x = 1,061.99 × 581.45
  4. Step 4: Simplify right side
    711.20x = 617,485.87
  5. Step 5: Solve for x
    x = 617,485.87/711.20
  6. Step 6: Final answer
    x = 868.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.