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Finding the Fourth Proportional to 1,072.67, 1,480.61 and 653.40

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Solution

The fourth proportional to 1,072.67, 1,480.61 and 653.40 is: 901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.67 : 1,480.61 = 653.40 : x
  2. Step 2: Convert to fraction form
    1,072.67/1,480.61 = 653.40/x
  3. Step 3: Cross multiply
    1,072.67x = 1,480.61 × 653.40
  4. Step 4: Simplify right side
    1,072.67x = 967,427.31
  5. Step 5: Solve for x
    x = 967,427.31/1,072.67
  6. Step 6: Final answer
    x = 901.89

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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.