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Finding the Fourth Proportional to 764.58, 1,054.19 and 646.34

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Solution

The fourth proportional to 764.58, 1,054.19 and 646.34 is: 891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.58 : 1,054.19 = 646.34 : x
  2. Step 2: Convert to fraction form
    764.58/1,054.19 = 646.34/x
  3. Step 3: Cross multiply
    764.58x = 1,054.19 × 646.34
  4. Step 4: Simplify right side
    764.58x = 681,356.66
  5. Step 5: Solve for x
    x = 681,356.66/764.58
  6. Step 6: Final answer
    x = 891.16

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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.