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Finding the Fourth Proportional to 1,569.06, 2,352.69 and 594.54

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Solution

The fourth proportional to 1,569.06, 2,352.69 and 594.54 is: 891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.06 : 2,352.69 = 594.54 : x
  2. Step 2: Convert to fraction form
    1,569.06/2,352.69 = 594.54/x
  3. Step 3: Cross multiply
    1,569.06x = 2,352.69 × 594.54
  4. Step 4: Simplify right side
    1,569.06x = 1,398,768.31
  5. Step 5: Solve for x
    x = 1,398,768.31/1,569.06
  6. Step 6: Final answer
    x = 891.47

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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.