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Finding the Fourth Proportional to 1,046.44, 1,567.77 and 583.66

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Solution

The fourth proportional to 1,046.44, 1,567.77 and 583.66 is: 874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.44 : 1,567.77 = 583.66 : x
  2. Step 2: Convert to fraction form
    1,046.44/1,567.77 = 583.66/x
  3. Step 3: Cross multiply
    1,046.44x = 1,567.77 × 583.66
  4. Step 4: Simplify right side
    1,046.44x = 915,044.64
  5. Step 5: Solve for x
    x = 915,044.64/1,046.44
  6. Step 6: Final answer
    x = 874.44

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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.