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Finding the Fourth Proportional to 846.45, 1,166.81 and 584.01

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Solution

The fourth proportional to 846.45, 1,166.81 and 584.01 is: 805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.45 : 1,166.81 = 584.01 : x
  2. Step 2: Convert to fraction form
    846.45/1,166.81 = 584.01/x
  3. Step 3: Cross multiply
    846.45x = 1,166.81 × 584.01
  4. Step 4: Simplify right side
    846.45x = 681,425.79
  5. Step 5: Solve for x
    x = 681,425.79/846.45
  6. Step 6: Final answer
    x = 805.04

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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.