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Finding the Fourth Proportional to 719.33, 992.14 and 532.82

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Solution

The fourth proportional to 719.33, 992.14 and 532.82 is: 734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.33 : 992.14 = 532.82 : x
  2. Step 2: Convert to fraction form
    719.33/992.14 = 532.82/x
  3. Step 3: Cross multiply
    719.33x = 992.14 × 532.82
  4. Step 4: Simplify right side
    719.33x = 528,633.18
  5. Step 5: Solve for x
    x = 528,633.18/719.33
  6. Step 6: Final answer
    x = 734.90

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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.