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Finding the Fourth Proportional to 698.57, 1,047.76 and 386.79

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Solution

The fourth proportional to 698.57, 1,047.76 and 386.79 is: 580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.57 : 1,047.76 = 386.79 : x
  2. Step 2: Convert to fraction form
    698.57/1,047.76 = 386.79/x
  3. Step 3: Cross multiply
    698.57x = 1,047.76 × 386.79
  4. Step 4: Simplify right side
    698.57x = 405,261.16
  5. Step 5: Solve for x
    x = 405,261.16/698.57
  6. Step 6: Final answer
    x = 580.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.