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Finding the Fourth Proportional to 786.03, 1,084.68 and 431.90

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Solution

The fourth proportional to 786.03, 1,084.68 and 431.90 is: 595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.03 : 1,084.68 = 431.90 : x
  2. Step 2: Convert to fraction form
    786.03/1,084.68 = 431.90/x
  3. Step 3: Cross multiply
    786.03x = 1,084.68 × 431.90
  4. Step 4: Simplify right side
    786.03x = 468,467.87
  5. Step 5: Solve for x
    x = 468,467.87/786.03
  6. Step 6: Final answer
    x = 595.99

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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.