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Finding the Fourth Proportional to 1,096.65, 1,513.43 and 654.60

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Solution

The fourth proportional to 1,096.65, 1,513.43 and 654.60 is: 903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.65 : 1,513.43 = 654.60 : x
  2. Step 2: Convert to fraction form
    1,096.65/1,513.43 = 654.60/x
  3. Step 3: Cross multiply
    1,096.65x = 1,513.43 × 654.60
  4. Step 4: Simplify right side
    1,096.65x = 990,688.01
  5. Step 5: Solve for x
    x = 990,688.01/1,096.65
  6. Step 6: Final answer
    x = 903.38

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Why These Related Problems?

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