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Finding the Fourth Proportional to 1,035.96, 1,429.56 and 570.21

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Solution

The fourth proportional to 1,035.96, 1,429.56 and 570.21 is: 786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.96 : 1,429.56 = 570.21 : x
  2. Step 2: Convert to fraction form
    1,035.96/1,429.56 = 570.21/x
  3. Step 3: Cross multiply
    1,035.96x = 1,429.56 × 570.21
  4. Step 4: Simplify right side
    1,035.96x = 815,149.41
  5. Step 5: Solve for x
    x = 815,149.41/1,035.96
  6. Step 6: Final answer
    x = 786.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.