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Finding the Fourth Proportional to 772.10, 1,065.48 and 457.22

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Solution

The fourth proportional to 772.10, 1,065.48 and 457.22 is: 630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.10 : 1,065.48 = 457.22 : x
  2. Step 2: Convert to fraction form
    772.10/1,065.48 = 457.22/x
  3. Step 3: Cross multiply
    772.10x = 1,065.48 × 457.22
  4. Step 4: Simplify right side
    772.10x = 487,158.77
  5. Step 5: Solve for x
    x = 487,158.77/772.10
  6. Step 6: Final answer
    x = 630.95

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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.