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Finding the Fourth Proportional to 704.35, 969.93 and 507.52

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Solution

The fourth proportional to 704.35, 969.93 and 507.52 is: 698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.35 : 969.93 = 507.52 : x
  2. Step 2: Convert to fraction form
    704.35/969.93 = 507.52/x
  3. Step 3: Cross multiply
    704.35x = 969.93 × 507.52
  4. Step 4: Simplify right side
    704.35x = 492,258.87
  5. Step 5: Solve for x
    x = 492,258.87/704.35
  6. Step 6: Final answer
    x = 698.88

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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.