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Finding the Fourth Proportional to 700.92, 962.01 and 642.60

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Solution

The fourth proportional to 700.92, 962.01 and 642.60 is: 881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.92 : 962.01 = 642.60 : x
  2. Step 2: Convert to fraction form
    700.92/962.01 = 642.60/x
  3. Step 3: Cross multiply
    700.92x = 962.01 × 642.60
  4. Step 4: Simplify right side
    700.92x = 618,187.63
  5. Step 5: Solve for x
    x = 618,187.63/700.92
  6. Step 6: Final answer
    x = 881.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.