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Finding the Fourth Proportional to 1,442.56, 1,990.40 and 970.24

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Solution

The fourth proportional to 1,442.56, 1,990.40 and 970.24 is: 1,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.56 : 1,990.40 = 970.24 : x
  2. Step 2: Convert to fraction form
    1,442.56/1,990.40 = 970.24/x
  3. Step 3: Cross multiply
    1,442.56x = 1,990.40 × 970.24
  4. Step 4: Simplify right side
    1,442.56x = 1,931,165.70
  5. Step 5: Solve for x
    x = 1,931,165.70/1,442.56
  6. Step 6: Final answer
    x = 1,338.71

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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.