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Finding the Fourth Proportional to 1,164.63, 1,607.19 and 640.68

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Solution

The fourth proportional to 1,164.63, 1,607.19 and 640.68 is: 884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.63 : 1,607.19 = 640.68 : x
  2. Step 2: Convert to fraction form
    1,164.63/1,607.19 = 640.68/x
  3. Step 3: Cross multiply
    1,164.63x = 1,607.19 × 640.68
  4. Step 4: Simplify right side
    1,164.63x = 1,029,694.49
  5. Step 5: Solve for x
    x = 1,029,694.49/1,164.63
  6. Step 6: Final answer
    x = 884.14

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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.