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Finding the Fourth Proportional to 1,046.13, 1,568.73 and 559.07

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Solution

The fourth proportional to 1,046.13, 1,568.73 and 559.07 is: 838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.13 : 1,568.73 = 559.07 : x
  2. Step 2: Convert to fraction form
    1,046.13/1,568.73 = 559.07/x
  3. Step 3: Cross multiply
    1,046.13x = 1,568.73 × 559.07
  4. Step 4: Simplify right side
    1,046.13x = 877,029.88
  5. Step 5: Solve for x
    x = 877,029.88/1,046.13
  6. Step 6: Final answer
    x = 838.36

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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.