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Finding the Fourth Proportional to 715.84, 986.98 and 519.28

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Solution

The fourth proportional to 715.84, 986.98 and 519.28 is: 715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.84 : 986.98 = 519.28 : x
  2. Step 2: Convert to fraction form
    715.84/986.98 = 519.28/x
  3. Step 3: Cross multiply
    715.84x = 986.98 × 519.28
  4. Step 4: Simplify right side
    715.84x = 512,518.97
  5. Step 5: Solve for x
    x = 512,518.97/715.84
  6. Step 6: Final answer
    x = 715.97

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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.