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Finding the Fourth Proportional to 952.71, 1,314.73 and 554.45

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Solution

The fourth proportional to 952.71, 1,314.73 and 554.45 is: 765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.71 : 1,314.73 = 554.45 : x
  2. Step 2: Convert to fraction form
    952.71/1,314.73 = 554.45/x
  3. Step 3: Cross multiply
    952.71x = 1,314.73 × 554.45
  4. Step 4: Simplify right side
    952.71x = 728,953.95
  5. Step 5: Solve for x
    x = 728,953.95/952.71
  6. Step 6: Final answer
    x = 765.14

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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.