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Finding the Fourth Proportional to 718.50, 990.99 and 497.82

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Solution

The fourth proportional to 718.50, 990.99 and 497.82 is: 686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.50 : 990.99 = 497.82 : x
  2. Step 2: Convert to fraction form
    718.50/990.99 = 497.82/x
  3. Step 3: Cross multiply
    718.50x = 990.99 × 497.82
  4. Step 4: Simplify right side
    718.50x = 493,334.64
  5. Step 5: Solve for x
    x = 493,334.64/718.50
  6. Step 6: Final answer
    x = 686.62

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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.