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Finding the Fourth Proportional to 1,442.06, 1,990.08 and 882.52

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Solution

The fourth proportional to 1,442.06, 1,990.08 and 882.52 is: 1,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.06 : 1,990.08 = 882.52 : x
  2. Step 2: Convert to fraction form
    1,442.06/1,990.08 = 882.52/x
  3. Step 3: Cross multiply
    1,442.06x = 1,990.08 × 882.52
  4. Step 4: Simplify right side
    1,442.06x = 1,756,285.40
  5. Step 5: Solve for x
    x = 1,756,285.40/1,442.06
  6. Step 6: Final answer
    x = 1,217.90

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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.