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Finding the Fourth Proportional to 914.86, 1,365.71 and 847.27

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Solution

The fourth proportional to 914.86, 1,365.71 and 847.27 is: 1,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.86 : 1,365.71 = 847.27 : x
  2. Step 2: Convert to fraction form
    914.86/1,365.71 = 847.27/x
  3. Step 3: Cross multiply
    914.86x = 1,365.71 × 847.27
  4. Step 4: Simplify right side
    914.86x = 1,157,125.11
  5. Step 5: Solve for x
    x = 1,157,125.11/914.86
  6. Step 6: Final answer
    x = 1,264.81

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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.