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Finding the Fourth Proportional to 1,583.64, 2,375.40 and 429.42

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Solution

The fourth proportional to 1,583.64, 2,375.40 and 429.42 is: 644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.64 : 2,375.40 = 429.42 : x
  2. Step 2: Convert to fraction form
    1,583.64/2,375.40 = 429.42/x
  3. Step 3: Cross multiply
    1,583.64x = 2,375.40 × 429.42
  4. Step 4: Simplify right side
    1,583.64x = 1,020,044.27
  5. Step 5: Solve for x
    x = 1,020,044.27/1,583.64
  6. Step 6: Final answer
    x = 644.11

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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.