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Finding the Fourth Proportional to 1,599.12, 2,398.60 and 598.28

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Solution

The fourth proportional to 1,599.12, 2,398.60 and 598.28 is: 897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.12 : 2,398.60 = 598.28 : x
  2. Step 2: Convert to fraction form
    1,599.12/2,398.60 = 598.28/x
  3. Step 3: Cross multiply
    1,599.12x = 2,398.60 × 598.28
  4. Step 4: Simplify right side
    1,599.12x = 1,435,034.41
  5. Step 5: Solve for x
    x = 1,435,034.41/1,599.12
  6. Step 6: Final answer
    x = 897.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.