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Finding the Fourth Proportional to 1,194.05, 1,648.58 and 746.60

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Solution

The fourth proportional to 1,194.05, 1,648.58 and 746.60 is: 1,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.05 : 1,648.58 = 746.60 : x
  2. Step 2: Convert to fraction form
    1,194.05/1,648.58 = 746.60/x
  3. Step 3: Cross multiply
    1,194.05x = 1,648.58 × 746.60
  4. Step 4: Simplify right side
    1,194.05x = 1,230,821.59
  5. Step 5: Solve for x
    x = 1,230,821.59/1,194.05
  6. Step 6: Final answer
    x = 1,030.80

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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.