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Finding the Fourth Proportional to 1,057.13, 1,585 and 570.53

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Solution

The fourth proportional to 1,057.13, 1,585 and 570.53 is: 855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.13 : 1,585 = 570.53 : x
  2. Step 2: Convert to fraction form
    1,057.13/1,585 = 570.53/x
  3. Step 3: Cross multiply
    1,057.13x = 1,585 × 570.53
  4. Step 4: Simplify right side
    1,057.13x = 904,290.05
  5. Step 5: Solve for x
    x = 904,290.05/1,057.13
  6. Step 6: Final answer
    x = 855.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.