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Finding the Fourth Proportional to 1,005.37, 1,508.25 and 594.80

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Solution

The fourth proportional to 1,005.37, 1,508.25 and 594.80 is: 892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.37 : 1,508.25 = 594.80 : x
  2. Step 2: Convert to fraction form
    1,005.37/1,508.25 = 594.80/x
  3. Step 3: Cross multiply
    1,005.37x = 1,508.25 × 594.80
  4. Step 4: Simplify right side
    1,005.37x = 897,107.45
  5. Step 5: Solve for x
    x = 897,107.45/1,005.37
  6. Step 6: Final answer
    x = 892.32

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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.