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Finding the Fourth Proportional to 1,583.86, 2,375.79 and 429.64

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Solution

The fourth proportional to 1,583.86, 2,375.79 and 429.64 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.86 : 2,375.79 = 429.64 : x
  2. Step 2: Convert to fraction form
    1,583.86/2,375.79 = 429.64/x
  3. Step 3: Cross multiply
    1,583.86x = 2,375.79 × 429.64
  4. Step 4: Simplify right side
    1,583.86x = 1,020,734.42
  5. Step 5: Solve for x
    x = 1,020,734.42/1,583.86
  6. Step 6: Final answer
    x = 644.46

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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.