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Finding the Fourth Proportional to 996.66, 1,496.10 and 586.56

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Solution

The fourth proportional to 996.66, 1,496.10 and 586.56 is: 880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.66 : 1,496.10 = 586.56 : x
  2. Step 2: Convert to fraction form
    996.66/1,496.10 = 586.56/x
  3. Step 3: Cross multiply
    996.66x = 1,496.10 × 586.56
  4. Step 4: Simplify right side
    996.66x = 877,552.42
  5. Step 5: Solve for x
    x = 877,552.42/996.66
  6. Step 6: Final answer
    x = 880.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.