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Finding the Fourth Proportional to 716.51, 989.34 and 576.18

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Solution

The fourth proportional to 716.51, 989.34 and 576.18 is: 795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.51 : 989.34 = 576.18 : x
  2. Step 2: Convert to fraction form
    716.51/989.34 = 576.18/x
  3. Step 3: Cross multiply
    716.51x = 989.34 × 576.18
  4. Step 4: Simplify right side
    716.51x = 570,037.92
  5. Step 5: Solve for x
    x = 570,037.92/716.51
  6. Step 6: Final answer
    x = 795.58

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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.