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Finding the Fourth Proportional to 856.47, 1,180.22 and 561.23

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Solution

The fourth proportional to 856.47, 1,180.22 and 561.23 is: 773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.47 : 1,180.22 = 561.23 : x
  2. Step 2: Convert to fraction form
    856.47/1,180.22 = 561.23/x
  3. Step 3: Cross multiply
    856.47x = 1,180.22 × 561.23
  4. Step 4: Simplify right side
    856.47x = 662,366.16
  5. Step 5: Solve for x
    x = 662,366.16/856.47
  6. Step 6: Final answer
    x = 773.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.