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Finding the Fourth Proportional to 736.86, 1,016.44 and 460.38

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Solution

The fourth proportional to 736.86, 1,016.44 and 460.38 is: 635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.86 : 1,016.44 = 460.38 : x
  2. Step 2: Convert to fraction form
    736.86/1,016.44 = 460.38/x
  3. Step 3: Cross multiply
    736.86x = 1,016.44 × 460.38
  4. Step 4: Simplify right side
    736.86x = 467,948.65
  5. Step 5: Solve for x
    x = 467,948.65/736.86
  6. Step 6: Final answer
    x = 635.06

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1.5x scale

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.