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Finding the Fourth Proportional to 923.81, 1,275.75 and 643.65

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Solution

The fourth proportional to 923.81, 1,275.75 and 643.65 is: 888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.81 : 1,275.75 = 643.65 : x
  2. Step 2: Convert to fraction form
    923.81/1,275.75 = 643.65/x
  3. Step 3: Cross multiply
    923.81x = 1,275.75 × 643.65
  4. Step 4: Simplify right side
    923.81x = 821,131.70
  5. Step 5: Solve for x
    x = 821,131.70/923.81
  6. Step 6: Final answer
    x = 888.86

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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.