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Finding the Fourth Proportional to 913.86, 1,364.22 and 846.27

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Solution

The fourth proportional to 913.86, 1,364.22 and 846.27 is: 1,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.86 : 1,364.22 = 846.27 : x
  2. Step 2: Convert to fraction form
    913.86/1,364.22 = 846.27/x
  3. Step 3: Cross multiply
    913.86x = 1,364.22 × 846.27
  4. Step 4: Simplify right side
    913.86x = 1,154,498.46
  5. Step 5: Solve for x
    x = 1,154,498.46/913.86
  6. Step 6: Final answer
    x = 1,263.32

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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.