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Finding the Fourth Proportional to 719.32, 992.82 and 498.04

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Solution

The fourth proportional to 719.32, 992.82 and 498.04 is: 687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.32 : 992.82 = 498.04 : x
  2. Step 2: Convert to fraction form
    719.32/992.82 = 498.04/x
  3. Step 3: Cross multiply
    719.32x = 992.82 × 498.04
  4. Step 4: Simplify right side
    719.32x = 494,464.07
  5. Step 5: Solve for x
    x = 494,464.07/719.32
  6. Step 6: Final answer
    x = 687.40

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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.