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Finding the Fourth Proportional to 1,602.26, 2,402.76 and 491.33

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Solution

The fourth proportional to 1,602.26, 2,402.76 and 491.33 is: 736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.26 : 2,402.76 = 491.33 : x
  2. Step 2: Convert to fraction form
    1,602.26/2,402.76 = 491.33/x
  3. Step 3: Cross multiply
    1,602.26x = 2,402.76 × 491.33
  4. Step 4: Simplify right side
    1,602.26x = 1,180,548.07
  5. Step 5: Solve for x
    x = 1,180,548.07/1,602.26
  6. Step 6: Final answer
    x = 736.80

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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.