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Finding the Fourth Proportional to 1,124.32, 1,683.28 and 893.54

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Solution

The fourth proportional to 1,124.32, 1,683.28 and 893.54 is: 1,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.32 : 1,683.28 = 893.54 : x
  2. Step 2: Convert to fraction form
    1,124.32/1,683.28 = 893.54/x
  3. Step 3: Cross multiply
    1,124.32x = 1,683.28 × 893.54
  4. Step 4: Simplify right side
    1,124.32x = 1,504,078.01
  5. Step 5: Solve for x
    x = 1,504,078.01/1,124.32
  6. Step 6: Final answer
    x = 1,337.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.