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Finding the Fourth Proportional to 1,138.83, 1,570.54 and 746.07

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Solution

The fourth proportional to 1,138.83, 1,570.54 and 746.07 is: 1,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.83 : 1,570.54 = 746.07 : x
  2. Step 2: Convert to fraction form
    1,138.83/1,570.54 = 746.07/x
  3. Step 3: Cross multiply
    1,138.83x = 1,570.54 × 746.07
  4. Step 4: Simplify right side
    1,138.83x = 1,171,737.07
  5. Step 5: Solve for x
    x = 1,171,737.07/1,138.83
  6. Step 6: Final answer
    x = 1,028.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.