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Finding the Fourth Proportional to 718.94, 992.39 and 498.18

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Solution

The fourth proportional to 718.94, 992.39 and 498.18 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.94 : 992.39 = 498.18 : x
  2. Step 2: Convert to fraction form
    718.94/992.39 = 498.18/x
  3. Step 3: Cross multiply
    718.94x = 992.39 × 498.18
  4. Step 4: Simplify right side
    718.94x = 494,390.08
  5. Step 5: Solve for x
    x = 494,390.08/718.94
  6. Step 6: Final answer
    x = 687.66

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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.