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Finding the Fourth Proportional to 764.34, 1,055.16 and 502.26

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Solution

The fourth proportional to 764.34, 1,055.16 and 502.26 is: 693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.34 : 1,055.16 = 502.26 : x
  2. Step 2: Convert to fraction form
    764.34/1,055.16 = 502.26/x
  3. Step 3: Cross multiply
    764.34x = 1,055.16 × 502.26
  4. Step 4: Simplify right side
    764.34x = 529,964.66
  5. Step 5: Solve for x
    x = 529,964.66/764.34
  6. Step 6: Final answer
    x = 693.36

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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.