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Finding the Fourth Proportional to 1,046.36, 1,443.98 and 574.26

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Solution

The fourth proportional to 1,046.36, 1,443.98 and 574.26 is: 792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.36 : 1,443.98 = 574.26 : x
  2. Step 2: Convert to fraction form
    1,046.36/1,443.98 = 574.26/x
  3. Step 3: Cross multiply
    1,046.36x = 1,443.98 × 574.26
  4. Step 4: Simplify right side
    1,046.36x = 829,219.95
  5. Step 5: Solve for x
    x = 829,219.95/1,046.36
  6. Step 6: Final answer
    x = 792.48

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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.