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Finding the Fourth Proportional to 716.53, 989.28 and 507.16

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Solution

The fourth proportional to 716.53, 989.28 and 507.16 is: 700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.53 : 989.28 = 507.16 : x
  2. Step 2: Convert to fraction form
    716.53/989.28 = 507.16/x
  3. Step 3: Cross multiply
    716.53x = 989.28 × 507.16
  4. Step 4: Simplify right side
    716.53x = 501,723.24
  5. Step 5: Solve for x
    x = 501,723.24/716.53
  6. Step 6: Final answer
    x = 700.21

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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.