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Finding the Fourth Proportional to 1,157.06, 1,596.75 and 764.17

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Solution

The fourth proportional to 1,157.06, 1,596.75 and 764.17 is: 1,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.06 : 1,596.75 = 764.17 : x
  2. Step 2: Convert to fraction form
    1,157.06/1,596.75 = 764.17/x
  3. Step 3: Cross multiply
    1,157.06x = 1,596.75 × 764.17
  4. Step 4: Simplify right side
    1,157.06x = 1,220,181.59
  5. Step 5: Solve for x
    x = 1,220,181.59/1,157.06
  6. Step 6: Final answer
    x = 1,054.55

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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.