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Finding the Fourth Proportional to 786.30, 1,084.54 and 491.46

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Solution

The fourth proportional to 786.30, 1,084.54 and 491.46 is: 677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.30 : 1,084.54 = 491.46 : x
  2. Step 2: Convert to fraction form
    786.30/1,084.54 = 491.46/x
  3. Step 3: Cross multiply
    786.30x = 1,084.54 × 491.46
  4. Step 4: Simplify right side
    786.30x = 533,008.03
  5. Step 5: Solve for x
    x = 533,008.03/786.30
  6. Step 6: Final answer
    x = 677.87

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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.