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Finding the Fourth Proportional to 1,009.30, 1,511.55 and 575.62

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Solution

The fourth proportional to 1,009.30, 1,511.55 and 575.62 is: 862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.30 : 1,511.55 = 575.62 : x
  2. Step 2: Convert to fraction form
    1,009.30/1,511.55 = 575.62/x
  3. Step 3: Cross multiply
    1,009.30x = 1,511.55 × 575.62
  4. Step 4: Simplify right side
    1,009.30x = 870,078.41
  5. Step 5: Solve for x
    x = 870,078.41/1,009.30
  6. Step 6: Final answer
    x = 862.06

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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.