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Finding the Fourth Proportional to 1,442.70, 1,990.67 and 853.20

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Solution

The fourth proportional to 1,442.70, 1,990.67 and 853.20 is: 1,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.70 : 1,990.67 = 853.20 : x
  2. Step 2: Convert to fraction form
    1,442.70/1,990.67 = 853.20/x
  3. Step 3: Cross multiply
    1,442.70x = 1,990.67 × 853.20
  4. Step 4: Simplify right side
    1,442.70x = 1,698,435.38
  5. Step 5: Solve for x
    x = 1,698,435.38/1,442.70
  6. Step 6: Final answer
    x = 1,177.26

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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.