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Finding the Fourth Proportional to 772.99, 1,066.83 and 458.53

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Solution

The fourth proportional to 772.99, 1,066.83 and 458.53 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.99 : 1,066.83 = 458.53 : x
  2. Step 2: Convert to fraction form
    772.99/1,066.83 = 458.53/x
  3. Step 3: Cross multiply
    772.99x = 1,066.83 × 458.53
  4. Step 4: Simplify right side
    772.99x = 489,169.17
  5. Step 5: Solve for x
    x = 489,169.17/772.99
  6. Step 6: Final answer
    x = 632.83

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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.