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Finding the Fourth Proportional to 1,583.79, 2,375.73 and 429.54

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Solution

The fourth proportional to 1,583.79, 2,375.73 and 429.54 is: 644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.79 : 2,375.73 = 429.54 : x
  2. Step 2: Convert to fraction form
    1,583.79/2,375.73 = 429.54/x
  3. Step 3: Cross multiply
    1,583.79x = 2,375.73 × 429.54
  4. Step 4: Simplify right side
    1,583.79x = 1,020,471.06
  5. Step 5: Solve for x
    x = 1,020,471.06/1,583.79
  6. Step 6: Final answer
    x = 644.32

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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.