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Finding the Fourth Proportional to 698.31, 1,047.51 and 390.31

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Solution

The fourth proportional to 698.31, 1,047.51 and 390.31 is: 585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.31 : 1,047.51 = 390.31 : x
  2. Step 2: Convert to fraction form
    698.31/1,047.51 = 390.31/x
  3. Step 3: Cross multiply
    698.31x = 1,047.51 × 390.31
  4. Step 4: Simplify right side
    698.31x = 408,853.63
  5. Step 5: Solve for x
    x = 408,853.63/698.31
  6. Step 6: Final answer
    x = 585.49

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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.