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Finding the Fourth Proportional to 1,599.70, 2,398.94 and 625.58

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Solution

The fourth proportional to 1,599.70, 2,398.94 and 625.58 is: 938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.70 : 2,398.94 = 625.58 : x
  2. Step 2: Convert to fraction form
    1,599.70/2,398.94 = 625.58/x
  3. Step 3: Cross multiply
    1,599.70x = 2,398.94 × 625.58
  4. Step 4: Simplify right side
    1,599.70x = 1,500,728.89
  5. Step 5: Solve for x
    x = 1,500,728.89/1,599.70
  6. Step 6: Final answer
    x = 938.13

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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.