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Finding the Fourth Proportional to 1,601.57, 2,402.40 and 491.01

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Solution

The fourth proportional to 1,601.57, 2,402.40 and 491.01 is: 736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.57 : 2,402.40 = 491.01 : x
  2. Step 2: Convert to fraction form
    1,601.57/2,402.40 = 491.01/x
  3. Step 3: Cross multiply
    1,601.57x = 2,402.40 × 491.01
  4. Step 4: Simplify right side
    1,601.57x = 1,179,602.42
  5. Step 5: Solve for x
    x = 1,179,602.42/1,601.57
  6. Step 6: Final answer
    x = 736.53

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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.