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Finding the Fourth Proportional to 1,057.81, 1,588.23 and 596.49

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Solution

The fourth proportional to 1,057.81, 1,588.23 and 596.49 is: 895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.81 : 1,588.23 = 596.49 : x
  2. Step 2: Convert to fraction form
    1,057.81/1,588.23 = 596.49/x
  3. Step 3: Cross multiply
    1,057.81x = 1,588.23 × 596.49
  4. Step 4: Simplify right side
    1,057.81x = 947,363.50
  5. Step 5: Solve for x
    x = 947,363.50/1,057.81
  6. Step 6: Final answer
    x = 895.59

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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.