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Finding the Fourth Proportional to 1,188.76, 1,789.75 and 1,030

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Solution

The fourth proportional to 1,188.76, 1,789.75 and 1,030 is: 1,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.76 : 1,789.75 = 1,030 : x
  2. Step 2: Convert to fraction form
    1,188.76/1,789.75 = 1,030/x
  3. Step 3: Cross multiply
    1,188.76x = 1,789.75 × 1,030
  4. Step 4: Simplify right side
    1,188.76x = 1,843,442.50
  5. Step 5: Solve for x
    x = 1,843,442.50/1,188.76
  6. Step 6: Final answer
    x = 1,550.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.