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Finding the Fourth Proportional to 632.91, 874.08 and 564.20

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Solution

The fourth proportional to 632.91, 874.08 and 564.20 is: 779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.91 : 874.08 = 564.20 : x
  2. Step 2: Convert to fraction form
    632.91/874.08 = 564.20/x
  3. Step 3: Cross multiply
    632.91x = 874.08 × 564.20
  4. Step 4: Simplify right side
    632.91x = 493,151.57
  5. Step 5: Solve for x
    x = 493,151.57/632.91
  6. Step 6: Final answer
    x = 779.18

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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.