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Finding the Fourth Proportional to 1,599.53, 2,399.10 and 429.63

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Solution

The fourth proportional to 1,599.53, 2,399.10 and 429.63 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.53 : 2,399.10 = 429.63 : x
  2. Step 2: Convert to fraction form
    1,599.53/2,399.10 = 429.63/x
  3. Step 3: Cross multiply
    1,599.53x = 2,399.10 × 429.63
  4. Step 4: Simplify right side
    1,599.53x = 1,030,711.19
  5. Step 5: Solve for x
    x = 1,030,711.19/1,599.53
  6. Step 6: Final answer
    x = 644.38

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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.