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Finding the Fourth Proportional to 920.51, 1,379.94 and 458.43

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Solution

The fourth proportional to 920.51, 1,379.94 and 458.43 is: 687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.51 : 1,379.94 = 458.43 : x
  2. Step 2: Convert to fraction form
    920.51/1,379.94 = 458.43/x
  3. Step 3: Cross multiply
    920.51x = 1,379.94 × 458.43
  4. Step 4: Simplify right side
    920.51x = 632,610.64
  5. Step 5: Solve for x
    x = 632,610.64/920.51
  6. Step 6: Final answer
    x = 687.24

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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.