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Finding the Fourth Proportional to 1,033.19, 1,423.44 and 846.68

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Solution

The fourth proportional to 1,033.19, 1,423.44 and 846.68 is: 1,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.19 : 1,423.44 = 846.68 : x
  2. Step 2: Convert to fraction form
    1,033.19/1,423.44 = 846.68/x
  3. Step 3: Cross multiply
    1,033.19x = 1,423.44 × 846.68
  4. Step 4: Simplify right side
    1,033.19x = 1,205,191.06
  5. Step 5: Solve for x
    x = 1,205,191.06/1,033.19
  6. Step 6: Final answer
    x = 1,166.48

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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.