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Finding the Fourth Proportional to 1,583.88, 2,375.88 and 429.63

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Solution

The fourth proportional to 1,583.88, 2,375.88 and 429.63 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.88 : 2,375.88 = 429.63 : x
  2. Step 2: Convert to fraction form
    1,583.88/2,375.88 = 429.63/x
  3. Step 3: Cross multiply
    1,583.88x = 2,375.88 × 429.63
  4. Step 4: Simplify right side
    1,583.88x = 1,020,749.32
  5. Step 5: Solve for x
    x = 1,020,749.32/1,583.88
  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.