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Finding the Fourth Proportional to 1,130.90, 1,696.78 and 582.73

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Solution

The fourth proportional to 1,130.90, 1,696.78 and 582.73 is: 874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.90 : 1,696.78 = 582.73 : x
  2. Step 2: Convert to fraction form
    1,130.90/1,696.78 = 582.73/x
  3. Step 3: Cross multiply
    1,130.90x = 1,696.78 × 582.73
  4. Step 4: Simplify right side
    1,130.90x = 988,764.61
  5. Step 5: Solve for x
    x = 988,764.61/1,130.90
  6. Step 6: Final answer
    x = 874.32

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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.