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Finding the Fourth Proportional to 786.02, 1,084.73 and 431.98

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Solution

The fourth proportional to 786.02, 1,084.73 and 431.98 is: 596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.02 : 1,084.73 = 431.98 : x
  2. Step 2: Convert to fraction form
    786.02/1,084.73 = 431.98/x
  3. Step 3: Cross multiply
    786.02x = 1,084.73 × 431.98
  4. Step 4: Simplify right side
    786.02x = 468,581.67
  5. Step 5: Solve for x
    x = 468,581.67/786.02
  6. Step 6: Final answer
    x = 596.14

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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.