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Finding the Fourth Proportional to 764, 1,054.31 and 414.70

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Solution

The fourth proportional to 764, 1,054.31 and 414.70 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    764 : 1,054.31 = 414.70 : x
  2. Step 2: Convert to fraction form
    764/1,054.31 = 414.70/x
  3. Step 3: Cross multiply
    764x = 1,054.31 × 414.70
  4. Step 4: Simplify right side
    764x = 437,222.36
  5. Step 5: Solve for x
    x = 437,222.36/764
  6. Step 6: Final answer
    x = 572.28

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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.