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Finding the Fourth Proportional to 736.63, 1,015.71 and 470.72

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Solution

The fourth proportional to 736.63, 1,015.71 and 470.72 is: 649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.63 : 1,015.71 = 470.72 : x
  2. Step 2: Convert to fraction form
    736.63/1,015.71 = 470.72/x
  3. Step 3: Cross multiply
    736.63x = 1,015.71 × 470.72
  4. Step 4: Simplify right side
    736.63x = 478,115.01
  5. Step 5: Solve for x
    x = 478,115.01/736.63
  6. Step 6: Final answer
    x = 649.06

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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.