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Finding the Fourth Proportional to 785.99, 1,084.61 and 431.87

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Solution

The fourth proportional to 785.99, 1,084.61 and 431.87 is: 595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.99 : 1,084.61 = 431.87 : x
  2. Step 2: Convert to fraction form
    785.99/1,084.61 = 431.87/x
  3. Step 3: Cross multiply
    785.99x = 1,084.61 × 431.87
  4. Step 4: Simplify right side
    785.99x = 468,406.18
  5. Step 5: Solve for x
    x = 468,406.18/785.99
  6. Step 6: Final answer
    x = 595.94

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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.