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Finding the Fourth Proportional to 700.32, 962.38 and 668.20

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Solution

The fourth proportional to 700.32, 962.38 and 668.20 is: 918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.32 : 962.38 = 668.20 : x
  2. Step 2: Convert to fraction form
    700.32/962.38 = 668.20/x
  3. Step 3: Cross multiply
    700.32x = 962.38 × 668.20
  4. Step 4: Simplify right side
    700.32x = 643,062.32
  5. Step 5: Solve for x
    x = 643,062.32/700.32
  6. Step 6: Final answer
    x = 918.24

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Why These Related Problems?

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