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Finding the Fourth Proportional to 1,044.58, 1,565.67 and 394.66

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Solution

The fourth proportional to 1,044.58, 1,565.67 and 394.66 is: 591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.58 : 1,565.67 = 394.66 : x
  2. Step 2: Convert to fraction form
    1,044.58/1,565.67 = 394.66/x
  3. Step 3: Cross multiply
    1,044.58x = 1,565.67 × 394.66
  4. Step 4: Simplify right side
    1,044.58x = 617,907.32
  5. Step 5: Solve for x
    x = 617,907.32/1,044.58
  6. Step 6: Final answer
    x = 591.54

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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.