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Finding the Fourth Proportional to 1,153.91, 1,590.10 and 821.41

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Solution

The fourth proportional to 1,153.91, 1,590.10 and 821.41 is: 1,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.91 : 1,590.10 = 821.41 : x
  2. Step 2: Convert to fraction form
    1,153.91/1,590.10 = 821.41/x
  3. Step 3: Cross multiply
    1,153.91x = 1,590.10 × 821.41
  4. Step 4: Simplify right side
    1,153.91x = 1,306,118.01
  5. Step 5: Solve for x
    x = 1,306,118.01/1,153.91
  6. Step 6: Final answer
    x = 1,131.90

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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.