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Finding the Fourth Proportional to 1,058.10, 1,584.67 and 812.74

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Solution

The fourth proportional to 1,058.10, 1,584.67 and 812.74 is: 1,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.10 : 1,584.67 = 812.74 : x
  2. Step 2: Convert to fraction form
    1,058.10/1,584.67 = 812.74/x
  3. Step 3: Cross multiply
    1,058.10x = 1,584.67 × 812.74
  4. Step 4: Simplify right side
    1,058.10x = 1,287,924.70
  5. Step 5: Solve for x
    x = 1,287,924.70/1,058.10
  6. Step 6: Final answer
    x = 1,217.21

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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.