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Finding the Fourth Proportional to 764, 1,054.06 and 502.16

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Solution

The fourth proportional to 764, 1,054.06 and 502.16 is: 692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    764 : 1,054.06 = 502.16 : x
  2. Step 2: Convert to fraction form
    764/1,054.06 = 502.16/x
  3. Step 3: Cross multiply
    764x = 1,054.06 × 502.16
  4. Step 4: Simplify right side
    764x = 529,306.77
  5. Step 5: Solve for x
    x = 529,306.77/764
  6. Step 6: Final answer
    x = 692.81

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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.