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Finding the Fourth Proportional to 997.59, 1,495.41 and 586.65

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Solution

The fourth proportional to 997.59, 1,495.41 and 586.65 is: 879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.59 : 1,495.41 = 586.65 : x
  2. Step 2: Convert to fraction form
    997.59/1,495.41 = 586.65/x
  3. Step 3: Cross multiply
    997.59x = 1,495.41 × 586.65
  4. Step 4: Simplify right side
    997.59x = 877,282.28
  5. Step 5: Solve for x
    x = 877,282.28/997.59
  6. Step 6: Final answer
    x = 879.40

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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.