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Finding the Fourth Proportional to 736.52, 1,016.40 and 404.93

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Solution

The fourth proportional to 736.52, 1,016.40 and 404.93 is: 558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.52 : 1,016.40 = 404.93 : x
  2. Step 2: Convert to fraction form
    736.52/1,016.40 = 404.93/x
  3. Step 3: Cross multiply
    736.52x = 1,016.40 × 404.93
  4. Step 4: Simplify right side
    736.52x = 411,574.54
  5. Step 5: Solve for x
    x = 411,574.54/736.52
  6. Step 6: Final answer
    x = 558.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.