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Finding the Fourth Proportional to 703.35, 968.56 and 506.52

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Solution

The fourth proportional to 703.35, 968.56 and 506.52 is: 697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.35 : 968.56 = 506.52 : x
  2. Step 2: Convert to fraction form
    703.35/968.56 = 506.52/x
  3. Step 3: Cross multiply
    703.35x = 968.56 × 506.52
  4. Step 4: Simplify right side
    703.35x = 490,593.74
  5. Step 5: Solve for x
    x = 490,593.74/703.35
  6. Step 6: Final answer
    x = 697.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.