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Finding the Fourth Proportional to 763.44, 1,050.89 and 658.86

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Solution

The fourth proportional to 763.44, 1,050.89 and 658.86 is: 906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.44 : 1,050.89 = 658.86 : x
  2. Step 2: Convert to fraction form
    763.44/1,050.89 = 658.86/x
  3. Step 3: Cross multiply
    763.44x = 1,050.89 × 658.86
  4. Step 4: Simplify right side
    763.44x = 692,386.09
  5. Step 5: Solve for x
    x = 692,386.09/763.44
  6. Step 6: Final answer
    x = 906.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.