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Finding the Fourth Proportional to 910.86, 1,365.98 and 563.67

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Solution

The fourth proportional to 910.86, 1,365.98 and 563.67 is: 845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.86 : 1,365.98 = 563.67 : x
  2. Step 2: Convert to fraction form
    910.86/1,365.98 = 563.67/x
  3. Step 3: Cross multiply
    910.86x = 1,365.98 × 563.67
  4. Step 4: Simplify right side
    910.86x = 769,959.13
  5. Step 5: Solve for x
    x = 769,959.13/910.86
  6. Step 6: Final answer
    x = 845.31

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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.