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Finding the Fourth Proportional to 1,127.07, 1,690.88 and 606.84

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Solution

The fourth proportional to 1,127.07, 1,690.88 and 606.84 is: 910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.07 : 1,690.88 = 606.84 : x
  2. Step 2: Convert to fraction form
    1,127.07/1,690.88 = 606.84/x
  3. Step 3: Cross multiply
    1,127.07x = 1,690.88 × 606.84
  4. Step 4: Simplify right side
    1,127.07x = 1,026,093.62
  5. Step 5: Solve for x
    x = 1,026,093.62/1,127.07
  6. Step 6: Final answer
    x = 910.41

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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.