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Finding the Fourth Proportional to 1,583.04, 2,183.14 and 984.77

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Solution

The fourth proportional to 1,583.04, 2,183.14 and 984.77 is: 1,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.04 : 2,183.14 = 984.77 : x
  2. Step 2: Convert to fraction form
    1,583.04/2,183.14 = 984.77/x
  3. Step 3: Cross multiply
    1,583.04x = 2,183.14 × 984.77
  4. Step 4: Simplify right side
    1,583.04x = 2,149,890.78
  5. Step 5: Solve for x
    x = 2,149,890.78/1,583.04
  6. Step 6: Final answer
    x = 1,358.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.