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Finding the Fourth Proportional to 1,356.71, 2,035.62 and 491.09

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Solution

The fourth proportional to 1,356.71, 2,035.62 and 491.09 is: 736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.71 : 2,035.62 = 491.09 : x
  2. Step 2: Convert to fraction form
    1,356.71/2,035.62 = 491.09/x
  3. Step 3: Cross multiply
    1,356.71x = 2,035.62 × 491.09
  4. Step 4: Simplify right side
    1,356.71x = 999,672.63
  5. Step 5: Solve for x
    x = 999,672.63/1,356.71
  6. Step 6: Final answer
    x = 736.84

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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.