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Finding the Fourth Proportional to 1,289.08, 1,934.10 and 596.08

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Solution

The fourth proportional to 1,289.08, 1,934.10 and 596.08 is: 894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.08 : 1,934.10 = 596.08 : x
  2. Step 2: Convert to fraction form
    1,289.08/1,934.10 = 596.08/x
  3. Step 3: Cross multiply
    1,289.08x = 1,934.10 × 596.08
  4. Step 4: Simplify right side
    1,289.08x = 1,152,878.33
  5. Step 5: Solve for x
    x = 1,152,878.33/1,289.08
  6. Step 6: Final answer
    x = 894.34

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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.