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Finding the Fourth Proportional to 1,599.51, 2,398.64 and 488.58

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Solution

The fourth proportional to 1,599.51, 2,398.64 and 488.58 is: 732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.51 : 2,398.64 = 488.58 : x
  2. Step 2: Convert to fraction form
    1,599.51/2,398.64 = 488.58/x
  3. Step 3: Cross multiply
    1,599.51x = 2,398.64 × 488.58
  4. Step 4: Simplify right side
    1,599.51x = 1,171,930.96
  5. Step 5: Solve for x
    x = 1,171,930.96/1,599.51
  6. Step 6: Final answer
    x = 732.68

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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.