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Finding the Fourth Proportional to 764.98, 1,051.62 and 658.25

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Solution

The fourth proportional to 764.98, 1,051.62 and 658.25 is: 904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.98 : 1,051.62 = 658.25 : x
  2. Step 2: Convert to fraction form
    764.98/1,051.62 = 658.25/x
  3. Step 3: Cross multiply
    764.98x = 1,051.62 × 658.25
  4. Step 4: Simplify right side
    764.98x = 692,228.87
  5. Step 5: Solve for x
    x = 692,228.87/764.98
  6. Step 6: Final answer
    x = 904.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.