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Finding the Fourth Proportional to 1,583.02, 2,374.62 and 609

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Solution

The fourth proportional to 1,583.02, 2,374.62 and 609 is: 913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.02 : 2,374.62 = 609 : x
  2. Step 2: Convert to fraction form
    1,583.02/2,374.62 = 609/x
  3. Step 3: Cross multiply
    1,583.02x = 2,374.62 × 609
  4. Step 4: Simplify right side
    1,583.02x = 1,446,143.58
  5. Step 5: Solve for x
    x = 1,446,143.58/1,583.02
  6. Step 6: Final answer
    x = 913.53

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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.