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Finding the Fourth Proportional to 786.18, 1,084.74 and 450.12

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Solution

The fourth proportional to 786.18, 1,084.74 and 450.12 is: 621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.18 : 1,084.74 = 450.12 : x
  2. Step 2: Convert to fraction form
    786.18/1,084.74 = 450.12/x
  3. Step 3: Cross multiply
    786.18x = 1,084.74 × 450.12
  4. Step 4: Simplify right side
    786.18x = 488,263.17
  5. Step 5: Solve for x
    x = 488,263.17/786.18
  6. Step 6: Final answer
    x = 621.06

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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.