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Finding the Fourth Proportional to 1,116.05, 1,673.51 and 653.97

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Solution

The fourth proportional to 1,116.05, 1,673.51 and 653.97 is: 980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.05 : 1,673.51 = 653.97 : x
  2. Step 2: Convert to fraction form
    1,116.05/1,673.51 = 653.97/x
  3. Step 3: Cross multiply
    1,116.05x = 1,673.51 × 653.97
  4. Step 4: Simplify right side
    1,116.05x = 1,094,422.06
  5. Step 5: Solve for x
    x = 1,094,422.06/1,116.05
  6. Step 6: Final answer
    x = 980.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.