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Finding the Fourth Proportional to 1,558.38, 2,336.63 and 778.60

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Solution

The fourth proportional to 1,558.38, 2,336.63 and 778.60 is: 1,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.38 : 2,336.63 = 778.60 : x
  2. Step 2: Convert to fraction form
    1,558.38/2,336.63 = 778.60/x
  3. Step 3: Cross multiply
    1,558.38x = 2,336.63 × 778.60
  4. Step 4: Simplify right side
    1,558.38x = 1,819,300.12
  5. Step 5: Solve for x
    x = 1,819,300.12/1,558.38
  6. Step 6: Final answer
    x = 1,167.43

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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.