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Finding the Fourth Proportional to 719.66, 992.58 and 498.12

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Solution

The fourth proportional to 719.66, 992.58 and 498.12 is: 687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.66 : 992.58 = 498.12 : x
  2. Step 2: Convert to fraction form
    719.66/992.58 = 498.12/x
  3. Step 3: Cross multiply
    719.66x = 992.58 × 498.12
  4. Step 4: Simplify right side
    719.66x = 494,423.95
  5. Step 5: Solve for x
    x = 494,423.95/719.66
  6. Step 6: Final answer
    x = 687.02

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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.