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Finding the Fourth Proportional to 975.78, 1,470.94 and 912.30

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Solution

The fourth proportional to 975.78, 1,470.94 and 912.30 is: 1,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.78 : 1,470.94 = 912.30 : x
  2. Step 2: Convert to fraction form
    975.78/1,470.94 = 912.30/x
  3. Step 3: Cross multiply
    975.78x = 1,470.94 × 912.30
  4. Step 4: Simplify right side
    975.78x = 1,341,938.56
  5. Step 5: Solve for x
    x = 1,341,938.56/975.78
  6. Step 6: Final answer
    x = 1,375.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.