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Finding the Fourth Proportional to 1,284.95, 1,929.08 and 669.08

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Solution

The fourth proportional to 1,284.95, 1,929.08 and 669.08 is: 1,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.95 : 1,929.08 = 669.08 : x
  2. Step 2: Convert to fraction form
    1,284.95/1,929.08 = 669.08/x
  3. Step 3: Cross multiply
    1,284.95x = 1,929.08 × 669.08
  4. Step 4: Simplify right side
    1,284.95x = 1,290,708.85
  5. Step 5: Solve for x
    x = 1,290,708.85/1,284.95
  6. Step 6: Final answer
    x = 1,004.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.