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Finding the Fourth Proportional to 707.32, 976 and 596.60

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Solution

The fourth proportional to 707.32, 976 and 596.60 is: 823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.32 : 976 = 596.60 : x
  2. Step 2: Convert to fraction form
    707.32/976 = 596.60/x
  3. Step 3: Cross multiply
    707.32x = 976 × 596.60
  4. Step 4: Simplify right side
    707.32x = 582,281.60
  5. Step 5: Solve for x
    x = 582,281.60/707.32
  6. Step 6: Final answer
    x = 823.22

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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.