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Finding the Fourth Proportional to 883.10, 1,323.78 and 557.66

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Solution

The fourth proportional to 883.10, 1,323.78 and 557.66 is: 835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.10 : 1,323.78 = 557.66 : x
  2. Step 2: Convert to fraction form
    883.10/1,323.78 = 557.66/x
  3. Step 3: Cross multiply
    883.10x = 1,323.78 × 557.66
  4. Step 4: Simplify right side
    883.10x = 738,219.15
  5. Step 5: Solve for x
    x = 738,219.15/883.10
  6. Step 6: Final answer
    x = 835.94

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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.