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Finding the Fourth Proportional to 676.98, 1,008.81 and 654.93

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Solution

The fourth proportional to 676.98, 1,008.81 and 654.93 is: 975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.98 : 1,008.81 = 654.93 : x
  2. Step 2: Convert to fraction form
    676.98/1,008.81 = 654.93/x
  3. Step 3: Cross multiply
    676.98x = 1,008.81 × 654.93
  4. Step 4: Simplify right side
    676.98x = 660,699.93
  5. Step 5: Solve for x
    x = 660,699.93/676.98
  6. Step 6: Final answer
    x = 975.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.