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Finding the Fourth Proportional to 874.93, 1,313.21 and 442.39

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Solution

The fourth proportional to 874.93, 1,313.21 and 442.39 is: 663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.93 : 1,313.21 = 442.39 : x
  2. Step 2: Convert to fraction form
    874.93/1,313.21 = 442.39/x
  3. Step 3: Cross multiply
    874.93x = 1,313.21 × 442.39
  4. Step 4: Simplify right side
    874.93x = 580,948.76
  5. Step 5: Solve for x
    x = 580,948.76/874.93
  6. Step 6: Final answer
    x = 663.99

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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.