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Finding the Fourth Proportional to 1,358.64, 2,036.61 and 664.47

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Solution

The fourth proportional to 1,358.64, 2,036.61 and 664.47 is: 996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.64 : 2,036.61 = 664.47 : x
  2. Step 2: Convert to fraction form
    1,358.64/2,036.61 = 664.47/x
  3. Step 3: Cross multiply
    1,358.64x = 2,036.61 × 664.47
  4. Step 4: Simplify right side
    1,358.64x = 1,353,266.25
  5. Step 5: Solve for x
    x = 1,353,266.25/1,358.64
  6. Step 6: Final answer
    x = 996.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.