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Finding the Fourth Proportional to 1,128.44, 1,683.04 and 956.24

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Solution

The fourth proportional to 1,128.44, 1,683.04 and 956.24 is: 1,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.44 : 1,683.04 = 956.24 : x
  2. Step 2: Convert to fraction form
    1,128.44/1,683.04 = 956.24/x
  3. Step 3: Cross multiply
    1,128.44x = 1,683.04 × 956.24
  4. Step 4: Simplify right side
    1,128.44x = 1,609,390.17
  5. Step 5: Solve for x
    x = 1,609,390.17/1,128.44
  6. Step 6: Final answer
    x = 1,426.21

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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.