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Finding the Fourth Proportional to 703.80, 970.32 and 507.36

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Solution

The fourth proportional to 703.80, 970.32 and 507.36 is: 699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.80 : 970.32 = 507.36 : x
  2. Step 2: Convert to fraction form
    703.80/970.32 = 507.36/x
  3. Step 3: Cross multiply
    703.80x = 970.32 × 507.36
  4. Step 4: Simplify right side
    703.80x = 492,301.56
  5. Step 5: Solve for x
    x = 492,301.56/703.80
  6. Step 6: Final answer
    x = 699.49

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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.