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Finding the Fourth Proportional to 952.58, 1,314.20 and 559.46

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Solution

The fourth proportional to 952.58, 1,314.20 and 559.46 is: 771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.58 : 1,314.20 = 559.46 : x
  2. Step 2: Convert to fraction form
    952.58/1,314.20 = 559.46/x
  3. Step 3: Cross multiply
    952.58x = 1,314.20 × 559.46
  4. Step 4: Simplify right side
    952.58x = 735,242.33
  5. Step 5: Solve for x
    x = 735,242.33/952.58
  6. Step 6: Final answer
    x = 771.84

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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.