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Finding the Fourth Proportional to 1,128.17, 1,690.80 and 608.40

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Solution

The fourth proportional to 1,128.17, 1,690.80 and 608.40 is: 911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.17 : 1,690.80 = 608.40 : x
  2. Step 2: Convert to fraction form
    1,128.17/1,690.80 = 608.40/x
  3. Step 3: Cross multiply
    1,128.17x = 1,690.80 × 608.40
  4. Step 4: Simplify right side
    1,128.17x = 1,028,682.72
  5. Step 5: Solve for x
    x = 1,028,682.72/1,128.17
  6. Step 6: Final answer
    x = 911.82

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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.