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Finding the Fourth Proportional to 921.36, 1,270.14 and 688.08

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Solution

The fourth proportional to 921.36, 1,270.14 and 688.08 is: 948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.36 : 1,270.14 = 688.08 : x
  2. Step 2: Convert to fraction form
    921.36/1,270.14 = 688.08/x
  3. Step 3: Cross multiply
    921.36x = 1,270.14 × 688.08
  4. Step 4: Simplify right side
    921.36x = 873,957.93
  5. Step 5: Solve for x
    x = 873,957.93/921.36
  6. Step 6: Final answer
    x = 948.55

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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.