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Finding the Fourth Proportional to 1,078.98, 1,488.96 and 606.89

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Solution

The fourth proportional to 1,078.98, 1,488.96 and 606.89 is: 837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.98 : 1,488.96 = 606.89 : x
  2. Step 2: Convert to fraction form
    1,078.98/1,488.96 = 606.89/x
  3. Step 3: Cross multiply
    1,078.98x = 1,488.96 × 606.89
  4. Step 4: Simplify right side
    1,078.98x = 903,627.49
  5. Step 5: Solve for x
    x = 903,627.49/1,078.98
  6. Step 6: Final answer
    x = 837.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.