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Finding the Fourth Proportional to 1,054.09, 1,579.75 and 566.57

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Solution

The fourth proportional to 1,054.09, 1,579.75 and 566.57 is: 849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.09 : 1,579.75 = 566.57 : x
  2. Step 2: Convert to fraction form
    1,054.09/1,579.75 = 566.57/x
  3. Step 3: Cross multiply
    1,054.09x = 1,579.75 × 566.57
  4. Step 4: Simplify right side
    1,054.09x = 895,038.96
  5. Step 5: Solve for x
    x = 895,038.96/1,054.09
  6. Step 6: Final answer
    x = 849.11

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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.