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Finding the Fourth Proportional to 920.03, 1,380.05 and 458.39

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Solution

The fourth proportional to 920.03, 1,380.05 and 458.39 is: 687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.03 : 1,380.05 = 458.39 : x
  2. Step 2: Convert to fraction form
    920.03/1,380.05 = 458.39/x
  3. Step 3: Cross multiply
    920.03x = 1,380.05 × 458.39
  4. Step 4: Simplify right side
    920.03x = 632,595.37
  5. Step 5: Solve for x
    x = 632,595.37/920.03
  6. Step 6: Final answer
    x = 687.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.