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Finding the Fourth Proportional to 1,583.35, 2,374.70 and 472.79

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Solution

The fourth proportional to 1,583.35, 2,374.70 and 472.79 is: 709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.35 : 2,374.70 = 472.79 : x
  2. Step 2: Convert to fraction form
    1,583.35/2,374.70 = 472.79/x
  3. Step 3: Cross multiply
    1,583.35x = 2,374.70 × 472.79
  4. Step 4: Simplify right side
    1,583.35x = 1,122,737.99
  5. Step 5: Solve for x
    x = 1,122,737.99/1,583.35
  6. Step 6: Final answer
    x = 709.09

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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.