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Finding the Fourth Proportional to 1,285.48, 1,929.18 and 601.96

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Solution

The fourth proportional to 1,285.48, 1,929.18 and 601.96 is: 903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.48 : 1,929.18 = 601.96 : x
  2. Step 2: Convert to fraction form
    1,285.48/1,929.18 = 601.96/x
  3. Step 3: Cross multiply
    1,285.48x = 1,929.18 × 601.96
  4. Step 4: Simplify right side
    1,285.48x = 1,161,289.19
  5. Step 5: Solve for x
    x = 1,161,289.19/1,285.48
  6. Step 6: Final answer
    x = 903.39

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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.