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Finding the Fourth Proportional to 751.02, 1,036.09 and 471.07

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Solution

The fourth proportional to 751.02, 1,036.09 and 471.07 is: 649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.02 : 1,036.09 = 471.07 : x
  2. Step 2: Convert to fraction form
    751.02/1,036.09 = 471.07/x
  3. Step 3: Cross multiply
    751.02x = 1,036.09 × 471.07
  4. Step 4: Simplify right side
    751.02x = 488,066.97
  5. Step 5: Solve for x
    x = 488,066.97/751.02
  6. Step 6: Final answer
    x = 649.87

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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.