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Finding the Fourth Proportional to 1,358.37, 2,038.47 and 617.68

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Solution

The fourth proportional to 1,358.37, 2,038.47 and 617.68 is: 926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.37 : 2,038.47 = 617.68 : x
  2. Step 2: Convert to fraction form
    1,358.37/2,038.47 = 617.68/x
  3. Step 3: Cross multiply
    1,358.37x = 2,038.47 × 617.68
  4. Step 4: Simplify right side
    1,358.37x = 1,259,110.92
  5. Step 5: Solve for x
    x = 1,259,110.92/1,358.37
  6. Step 6: Final answer
    x = 926.93

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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.