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Finding the Fourth Proportional to 1,057.53, 1,586.31 and 564.12

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Solution

The fourth proportional to 1,057.53, 1,586.31 and 564.12 is: 846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.53 : 1,586.31 = 564.12 : x
  2. Step 2: Convert to fraction form
    1,057.53/1,586.31 = 564.12/x
  3. Step 3: Cross multiply
    1,057.53x = 1,586.31 × 564.12
  4. Step 4: Simplify right side
    1,057.53x = 894,869.20
  5. Step 5: Solve for x
    x = 894,869.20/1,057.53
  6. Step 6: Final answer
    x = 846.19

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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.