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Finding the Fourth Proportional to 914.07, 1,364.46 and 846.39

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Solution

The fourth proportional to 914.07, 1,364.46 and 846.39 is: 1,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.07 : 1,364.46 = 846.39 : x
  2. Step 2: Convert to fraction form
    914.07/1,364.46 = 846.39/x
  3. Step 3: Cross multiply
    914.07x = 1,364.46 × 846.39
  4. Step 4: Simplify right side
    914.07x = 1,154,865.30
  5. Step 5: Solve for x
    x = 1,154,865.30/914.07
  6. Step 6: Final answer
    x = 1,263.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.