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Finding the Fourth Proportional to 912.06, 1,256.04 and 649.62

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Solution

The fourth proportional to 912.06, 1,256.04 and 649.62 is: 894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.06 : 1,256.04 = 649.62 : x
  2. Step 2: Convert to fraction form
    912.06/1,256.04 = 649.62/x
  3. Step 3: Cross multiply
    912.06x = 1,256.04 × 649.62
  4. Step 4: Simplify right side
    912.06x = 815,948.70
  5. Step 5: Solve for x
    x = 815,948.70/912.06
  6. Step 6: Final answer
    x = 894.62

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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.