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Finding the Fourth Proportional to 703.87, 970.27 and 507.31

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Solution

The fourth proportional to 703.87, 970.27 and 507.31 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.87 : 970.27 = 507.31 : x
  2. Step 2: Convert to fraction form
    703.87/970.27 = 507.31/x
  3. Step 3: Cross multiply
    703.87x = 970.27 × 507.31
  4. Step 4: Simplify right side
    703.87x = 492,227.67
  5. Step 5: Solve for x
    x = 492,227.67/703.87
  6. Step 6: Final answer
    x = 699.32

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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.