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Finding the Fourth Proportional to 772.83, 1,066.50 and 458.10

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Solution

The fourth proportional to 772.83, 1,066.50 and 458.10 is: 632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.83 : 1,066.50 = 458.10 : x
  2. Step 2: Convert to fraction form
    772.83/1,066.50 = 458.10/x
  3. Step 3: Cross multiply
    772.83x = 1,066.50 × 458.10
  4. Step 4: Simplify right side
    772.83x = 488,563.65
  5. Step 5: Solve for x
    x = 488,563.65/772.83
  6. Step 6: Final answer
    x = 632.17

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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.