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Finding the Fourth Proportional to 917.41, 1,264.76 and 888.69

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Solution

The fourth proportional to 917.41, 1,264.76 and 888.69 is: 1,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.41 : 1,264.76 = 888.69 : x
  2. Step 2: Convert to fraction form
    917.41/1,264.76 = 888.69/x
  3. Step 3: Cross multiply
    917.41x = 1,264.76 × 888.69
  4. Step 4: Simplify right side
    917.41x = 1,123,979.56
  5. Step 5: Solve for x
    x = 1,123,979.56/917.41
  6. Step 6: Final answer
    x = 1,225.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.