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Finding the Fourth Proportional to 764.02, 1,054.35 and 414.71

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Solution

The fourth proportional to 764.02, 1,054.35 and 414.71 is: 572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.02 : 1,054.35 = 414.71 : x
  2. Step 2: Convert to fraction form
    764.02/1,054.35 = 414.71/x
  3. Step 3: Cross multiply
    764.02x = 1,054.35 × 414.71
  4. Step 4: Simplify right side
    764.02x = 437,249.49
  5. Step 5: Solve for x
    x = 437,249.49/764.02
  6. Step 6: Final answer
    x = 572.30

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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.