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Finding the Fourth Proportional to 1,583.84, 2,375.76 and 429.68

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Solution

The fourth proportional to 1,583.84, 2,375.76 and 429.68 is: 644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.84 : 2,375.76 = 429.68 : x
  2. Step 2: Convert to fraction form
    1,583.84/2,375.76 = 429.68/x
  3. Step 3: Cross multiply
    1,583.84x = 2,375.76 × 429.68
  4. Step 4: Simplify right side
    1,583.84x = 1,020,816.56
  5. Step 5: Solve for x
    x = 1,020,816.56/1,583.84
  6. Step 6: Final answer
    x = 644.52

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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.