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Finding the Fourth Proportional to 1,125.03, 1,683.09 and 1,055.91

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Solution

The fourth proportional to 1,125.03, 1,683.09 and 1,055.91 is: 1,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.03 : 1,683.09 = 1,055.91 : x
  2. Step 2: Convert to fraction form
    1,125.03/1,683.09 = 1,055.91/x
  3. Step 3: Cross multiply
    1,125.03x = 1,683.09 × 1,055.91
  4. Step 4: Simplify right side
    1,125.03x = 1,777,191.56
  5. Step 5: Solve for x
    x = 1,777,191.56/1,125.03
  6. Step 6: Final answer
    x = 1,579.68

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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.