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Finding the Fourth Proportional to 873.68, 1,206 and 558.96

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Solution

The fourth proportional to 873.68, 1,206 and 558.96 is: 771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.68 : 1,206 = 558.96 : x
  2. Step 2: Convert to fraction form
    873.68/1,206 = 558.96/x
  3. Step 3: Cross multiply
    873.68x = 1,206 × 558.96
  4. Step 4: Simplify right side
    873.68x = 674,105.76
  5. Step 5: Solve for x
    x = 674,105.76/873.68
  6. Step 6: Final answer
    x = 771.57

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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.