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Finding the Fourth Proportional to 1,289.37, 1,934.39 and 558.77

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Solution

The fourth proportional to 1,289.37, 1,934.39 and 558.77 is: 838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.37 : 1,934.39 = 558.77 : x
  2. Step 2: Convert to fraction form
    1,289.37/1,934.39 = 558.77/x
  3. Step 3: Cross multiply
    1,289.37x = 1,934.39 × 558.77
  4. Step 4: Simplify right side
    1,289.37x = 1,080,879.10
  5. Step 5: Solve for x
    x = 1,080,879.10/1,289.37
  6. Step 6: Final answer
    x = 838.30

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1.5x scale

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.