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Finding the Fourth Proportional to 764.99, 1,055.74 and 433.45

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Solution

The fourth proportional to 764.99, 1,055.74 and 433.45 is: 598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.99 : 1,055.74 = 433.45 : x
  2. Step 2: Convert to fraction form
    764.99/1,055.74 = 433.45/x
  3. Step 3: Cross multiply
    764.99x = 1,055.74 × 433.45
  4. Step 4: Simplify right side
    764.99x = 457,606.78
  5. Step 5: Solve for x
    x = 457,606.78/764.99
  6. Step 6: Final answer
    x = 598.19

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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.