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Finding the Fourth Proportional to 751.01, 1,036.06 and 470.81

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Solution

The fourth proportional to 751.01, 1,036.06 and 470.81 is: 649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.01 : 1,036.06 = 470.81 : x
  2. Step 2: Convert to fraction form
    751.01/1,036.06 = 470.81/x
  3. Step 3: Cross multiply
    751.01x = 1,036.06 × 470.81
  4. Step 4: Simplify right side
    751.01x = 487,788.82
  5. Step 5: Solve for x
    x = 487,788.82/751.01
  6. Step 6: Final answer
    x = 649.51

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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.