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Finding the Fourth Proportional to 845.49, 1,166.98 and 547.07

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Solution

The fourth proportional to 845.49, 1,166.98 and 547.07 is: 755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.49 : 1,166.98 = 547.07 : x
  2. Step 2: Convert to fraction form
    845.49/1,166.98 = 547.07/x
  3. Step 3: Cross multiply
    845.49x = 1,166.98 × 547.07
  4. Step 4: Simplify right side
    845.49x = 638,416.75
  5. Step 5: Solve for x
    x = 638,416.75/845.49
  6. Step 6: Final answer
    x = 755.09

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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.