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Finding the Fourth Proportional to 3,055.70, 4,583.53 and 747.20

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Solution

The fourth proportional to 3,055.70, 4,583.53 and 747.20 is: 1,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.70 : 4,583.53 = 747.20 : x
  2. Step 2: Convert to fraction form
    3,055.70/4,583.53 = 747.20/x
  3. Step 3: Cross multiply
    3,055.70x = 4,583.53 × 747.20
  4. Step 4: Simplify right side
    3,055.70x = 3,424,813.62
  5. Step 5: Solve for x
    x = 3,424,813.62/3,055.70
  6. Step 6: Final answer
    x = 1,120.80

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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.