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Finding the Fourth Proportional to 1,046.99, 1,570.78 and 462.46

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Solution

The fourth proportional to 1,046.99, 1,570.78 and 462.46 is: 693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.99 : 1,570.78 = 462.46 : x
  2. Step 2: Convert to fraction form
    1,046.99/1,570.78 = 462.46/x
  3. Step 3: Cross multiply
    1,046.99x = 1,570.78 × 462.46
  4. Step 4: Simplify right side
    1,046.99x = 726,412.75
  5. Step 5: Solve for x
    x = 726,412.75/1,046.99
  6. Step 6: Final answer
    x = 693.81

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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.