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Finding the Fourth Proportional to 715.94, 988.04 and 506.18

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Solution

The fourth proportional to 715.94, 988.04 and 506.18 is: 698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.94 : 988.04 = 506.18 : x
  2. Step 2: Convert to fraction form
    715.94/988.04 = 506.18/x
  3. Step 3: Cross multiply
    715.94x = 988.04 × 506.18
  4. Step 4: Simplify right side
    715.94x = 500,118.62
  5. Step 5: Solve for x
    x = 500,118.62/715.94
  6. Step 6: Final answer
    x = 698.55

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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.