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Finding the Fourth Proportional to 1,096.98, 1,513.71 and 648.93

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Solution

The fourth proportional to 1,096.98, 1,513.71 and 648.93 is: 895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.98 : 1,513.71 = 648.93 : x
  2. Step 2: Convert to fraction form
    1,096.98/1,513.71 = 648.93/x
  3. Step 3: Cross multiply
    1,096.98x = 1,513.71 × 648.93
  4. Step 4: Simplify right side
    1,096.98x = 982,291.83
  5. Step 5: Solve for x
    x = 982,291.83/1,096.98
  6. Step 6: Final answer
    x = 895.45

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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.