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Finding the Fourth Proportional to 764.67, 1,055.22 and 433.10

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Solution

The fourth proportional to 764.67, 1,055.22 and 433.10 is: 597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.67 : 1,055.22 = 433.10 : x
  2. Step 2: Convert to fraction form
    764.67/1,055.22 = 433.10/x
  3. Step 3: Cross multiply
    764.67x = 1,055.22 × 433.10
  4. Step 4: Simplify right side
    764.67x = 457,010.51
  5. Step 5: Solve for x
    x = 457,010.51/764.67
  6. Step 6: Final answer
    x = 597.66

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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.