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Finding the Fourth Proportional to 1,130.82, 1,697.03 and 582.92

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Solution

The fourth proportional to 1,130.82, 1,697.03 and 582.92 is: 874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.82 : 1,697.03 = 582.92 : x
  2. Step 2: Convert to fraction form
    1,130.82/1,697.03 = 582.92/x
  3. Step 3: Cross multiply
    1,130.82x = 1,697.03 × 582.92
  4. Step 4: Simplify right side
    1,130.82x = 989,232.73
  5. Step 5: Solve for x
    x = 989,232.73/1,130.82
  6. Step 6: Final answer
    x = 874.79

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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.