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Finding the Fourth Proportional to 772.02, 1,065.33 and 457.32

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Solution

The fourth proportional to 772.02, 1,065.33 and 457.32 is: 631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,065.33 = 457.32 : x
  2. Step 2: Convert to fraction form
    772.02/1,065.33 = 457.32/x
  3. Step 3: Cross multiply
    772.02x = 1,065.33 × 457.32
  4. Step 4: Simplify right side
    772.02x = 487,196.72
  5. Step 5: Solve for x
    x = 487,196.72/772.02
  6. Step 6: Final answer
    x = 631.07

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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.