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Finding the Fourth Proportional to 1,128.86, 1,684.23 and 1,012.22

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Solution

The fourth proportional to 1,128.86, 1,684.23 and 1,012.22 is: 1,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.86 : 1,684.23 = 1,012.22 : x
  2. Step 2: Convert to fraction form
    1,128.86/1,684.23 = 1,012.22/x
  3. Step 3: Cross multiply
    1,128.86x = 1,684.23 × 1,012.22
  4. Step 4: Simplify right side
    1,128.86x = 1,704,806.23
  5. Step 5: Solve for x
    x = 1,704,806.23/1,128.86
  6. Step 6: Final answer
    x = 1,510.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.