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Finding the Fourth Proportional to 1,057.82, 1,587.18 and 570.31

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Solution

The fourth proportional to 1,057.82, 1,587.18 and 570.31 is: 855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.82 : 1,587.18 = 570.31 : x
  2. Step 2: Convert to fraction form
    1,057.82/1,587.18 = 570.31/x
  3. Step 3: Cross multiply
    1,057.82x = 1,587.18 × 570.31
  4. Step 4: Simplify right side
    1,057.82x = 905,178.12
  5. Step 5: Solve for x
    x = 905,178.12/1,057.82
  6. Step 6: Final answer
    x = 855.70

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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.