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Finding the Fourth Proportional to 1,109.87, 1,665.30 and 582.66

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Solution

The fourth proportional to 1,109.87, 1,665.30 and 582.66 is: 874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.87 : 1,665.30 = 582.66 : x
  2. Step 2: Convert to fraction form
    1,109.87/1,665.30 = 582.66/x
  3. Step 3: Cross multiply
    1,109.87x = 1,665.30 × 582.66
  4. Step 4: Simplify right side
    1,109.87x = 970,303.70
  5. Step 5: Solve for x
    x = 970,303.70/1,109.87
  6. Step 6: Final answer
    x = 874.25

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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.