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Finding the Fourth Proportional to 845.55, 1,166.67 and 496.17

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Solution

The fourth proportional to 845.55, 1,166.67 and 496.17 is: 684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.55 : 1,166.67 = 496.17 : x
  2. Step 2: Convert to fraction form
    845.55/1,166.67 = 496.17/x
  3. Step 3: Cross multiply
    845.55x = 1,166.67 × 496.17
  4. Step 4: Simplify right side
    845.55x = 578,866.65
  5. Step 5: Solve for x
    x = 578,866.65/845.55
  6. Step 6: Final answer
    x = 684.60

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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.