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Finding the Fourth Proportional to 772.57, 1,157.46 and 511.95

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Solution

The fourth proportional to 772.57, 1,157.46 and 511.95 is: 767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.57 : 1,157.46 = 511.95 : x
  2. Step 2: Convert to fraction form
    772.57/1,157.46 = 511.95/x
  3. Step 3: Cross multiply
    772.57x = 1,157.46 × 511.95
  4. Step 4: Simplify right side
    772.57x = 592,564.54
  5. Step 5: Solve for x
    x = 592,564.54/772.57
  6. Step 6: Final answer
    x = 767.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.