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Finding the Fourth Proportional to 772.07, 1,157.45 and 482.90

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Solution

The fourth proportional to 772.07, 1,157.45 and 482.90 is: 723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.07 : 1,157.45 = 482.90 : x
  2. Step 2: Convert to fraction form
    772.07/1,157.45 = 482.90/x
  3. Step 3: Cross multiply
    772.07x = 1,157.45 × 482.90
  4. Step 4: Simplify right side
    772.07x = 558,924.40
  5. Step 5: Solve for x
    x = 558,924.40/772.07
  6. Step 6: Final answer
    x = 723.93

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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.