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Finding the Fourth Proportional to 927.65, 1,388.23 and 602.03

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Solution

The fourth proportional to 927.65, 1,388.23 and 602.03 is: 900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.65 : 1,388.23 = 602.03 : x
  2. Step 2: Convert to fraction form
    927.65/1,388.23 = 602.03/x
  3. Step 3: Cross multiply
    927.65x = 1,388.23 × 602.03
  4. Step 4: Simplify right side
    927.65x = 835,756.11
  5. Step 5: Solve for x
    x = 835,756.11/927.65
  6. Step 6: Final answer
    x = 900.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.