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Finding the Fourth Proportional to 1,390.52, 2,085.46 and 403.33

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Solution

The fourth proportional to 1,390.52, 2,085.46 and 403.33 is: 604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.52 : 2,085.46 = 403.33 : x
  2. Step 2: Convert to fraction form
    1,390.52/2,085.46 = 403.33/x
  3. Step 3: Cross multiply
    1,390.52x = 2,085.46 × 403.33
  4. Step 4: Simplify right side
    1,390.52x = 841,128.54
  5. Step 5: Solve for x
    x = 841,128.54/1,390.52
  6. Step 6: Final answer
    x = 604.90

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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.