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Finding the Fourth Proportional to 952.85, 1,314.87 and 533.19

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Solution

The fourth proportional to 952.85, 1,314.87 and 533.19 is: 735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.85 : 1,314.87 = 533.19 : x
  2. Step 2: Convert to fraction form
    952.85/1,314.87 = 533.19/x
  3. Step 3: Cross multiply
    952.85x = 1,314.87 × 533.19
  4. Step 4: Simplify right side
    952.85x = 701,075.54
  5. Step 5: Solve for x
    x = 701,075.54/952.85
  6. Step 6: Final answer
    x = 735.77

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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.