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Finding the Fourth Proportional to 962.33, 1,327.97 and 536.93

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Solution

The fourth proportional to 962.33, 1,327.97 and 536.93 is: 740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.33 : 1,327.97 = 536.93 : x
  2. Step 2: Convert to fraction form
    962.33/1,327.97 = 536.93/x
  3. Step 3: Cross multiply
    962.33x = 1,327.97 × 536.93
  4. Step 4: Simplify right side
    962.33x = 713,023.41
  5. Step 5: Solve for x
    x = 713,023.41/962.33
  6. Step 6: Final answer
    x = 740.93

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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.