Home / 1,096.02-1,512.32-653.90

Finding the Fourth Proportional to 1,096.02, 1,512.32 and 653.90

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Solution

The fourth proportional to 1,096.02, 1,512.32 and 653.90 is: 902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.02 : 1,512.32 = 653.90 : x
  2. Step 2: Convert to fraction form
    1,096.02/1,512.32 = 653.90/x
  3. Step 3: Cross multiply
    1,096.02x = 1,512.32 × 653.90
  4. Step 4: Simplify right side
    1,096.02x = 988,895.22
  5. Step 5: Solve for x
    x = 988,895.22/1,096.02
  6. Step 6: Final answer
    x = 902.26

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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.