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Finding the Fourth Proportional to 1,046.86, 1,570.43 and 461.81

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Solution

The fourth proportional to 1,046.86, 1,570.43 and 461.81 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.86 : 1,570.43 = 461.81 : x
  2. Step 2: Convert to fraction form
    1,046.86/1,570.43 = 461.81/x
  3. Step 3: Cross multiply
    1,046.86x = 1,570.43 × 461.81
  4. Step 4: Simplify right side
    1,046.86x = 725,245.36
  5. Step 5: Solve for x
    x = 725,245.36/1,046.86
  6. Step 6: Final answer
    x = 692.78

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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.