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Finding the Fourth Proportional to 946.45, 1,306.73 and 846.55

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Solution

The fourth proportional to 946.45, 1,306.73 and 846.55 is: 1,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.45 : 1,306.73 = 846.55 : x
  2. Step 2: Convert to fraction form
    946.45/1,306.73 = 846.55/x
  3. Step 3: Cross multiply
    946.45x = 1,306.73 × 846.55
  4. Step 4: Simplify right side
    946.45x = 1,106,216.03
  5. Step 5: Solve for x
    x = 1,106,216.03/946.45
  6. Step 6: Final answer
    x = 1,168.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.