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Finding the Fourth Proportional to 1,368.59, 2,052.63 and 490.91

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Solution

The fourth proportional to 1,368.59, 2,052.63 and 490.91 is: 736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.59 : 2,052.63 = 490.91 : x
  2. Step 2: Convert to fraction form
    1,368.59/2,052.63 = 490.91/x
  3. Step 3: Cross multiply
    1,368.59x = 2,052.63 × 490.91
  4. Step 4: Simplify right side
    1,368.59x = 1,007,646.33
  5. Step 5: Solve for x
    x = 1,007,646.33/1,368.59
  6. Step 6: Final answer
    x = 736.27

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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.