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Finding the Fourth Proportional to 1,072.45, 1,480.05 and 653.02

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Solution

The fourth proportional to 1,072.45, 1,480.05 and 653.02 is: 901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.45 : 1,480.05 = 653.02 : x
  2. Step 2: Convert to fraction form
    1,072.45/1,480.05 = 653.02/x
  3. Step 3: Cross multiply
    1,072.45x = 1,480.05 × 653.02
  4. Step 4: Simplify right side
    1,072.45x = 966,502.25
  5. Step 5: Solve for x
    x = 966,502.25/1,072.45
  6. Step 6: Final answer
    x = 901.21

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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.