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Finding the Fourth Proportional to 1,058.90, 1,586.57 and 811.85

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Solution

The fourth proportional to 1,058.90, 1,586.57 and 811.85 is: 1,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.90 : 1,586.57 = 811.85 : x
  2. Step 2: Convert to fraction form
    1,058.90/1,586.57 = 811.85/x
  3. Step 3: Cross multiply
    1,058.90x = 1,586.57 × 811.85
  4. Step 4: Simplify right side
    1,058.90x = 1,288,044.86
  5. Step 5: Solve for x
    x = 1,288,044.86/1,058.90
  6. Step 6: Final answer
    x = 1,216.40

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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.