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Finding the Fourth Proportional to 3,055.35, 4,582.98 and 746.85

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Solution

The fourth proportional to 3,055.35, 4,582.98 and 746.85 is: 1,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.35 : 4,582.98 = 746.85 : x
  2. Step 2: Convert to fraction form
    3,055.35/4,582.98 = 746.85/x
  3. Step 3: Cross multiply
    3,055.35x = 4,582.98 × 746.85
  4. Step 4: Simplify right side
    3,055.35x = 3,422,798.61
  5. Step 5: Solve for x
    x = 3,422,798.61/3,055.35
  6. Step 6: Final answer
    x = 1,120.26

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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.