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Finding the Fourth Proportional to 1,069.92, 1,605.48 and 583.32

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Solution

The fourth proportional to 1,069.92, 1,605.48 and 583.32 is: 875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.92 : 1,605.48 = 583.32 : x
  2. Step 2: Convert to fraction form
    1,069.92/1,605.48 = 583.32/x
  3. Step 3: Cross multiply
    1,069.92x = 1,605.48 × 583.32
  4. Step 4: Simplify right side
    1,069.92x = 936,508.59
  5. Step 5: Solve for x
    x = 936,508.59/1,069.92
  6. Step 6: Final answer
    x = 875.31

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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.