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Finding the Fourth Proportional to 764.58, 1,141.09 and 690.77

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Solution

The fourth proportional to 764.58, 1,141.09 and 690.77 is: 1,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.58 : 1,141.09 = 690.77 : x
  2. Step 2: Convert to fraction form
    764.58/1,141.09 = 690.77/x
  3. Step 3: Cross multiply
    764.58x = 1,141.09 × 690.77
  4. Step 4: Simplify right side
    764.58x = 788,227.89
  5. Step 5: Solve for x
    x = 788,227.89/764.58
  6. Step 6: Final answer
    x = 1,030.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.