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Finding the Fourth Proportional to 1,055.29, 1,580.29 and 568.48

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Solution

The fourth proportional to 1,055.29, 1,580.29 and 568.48 is: 851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.29 : 1,580.29 = 568.48 : x
  2. Step 2: Convert to fraction form
    1,055.29/1,580.29 = 568.48/x
  3. Step 3: Cross multiply
    1,055.29x = 1,580.29 × 568.48
  4. Step 4: Simplify right side
    1,055.29x = 898,363.26
  5. Step 5: Solve for x
    x = 898,363.26/1,055.29
  6. Step 6: Final answer
    x = 851.30

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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.