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Finding the Fourth Proportional to 1,302.74, 1,954.11 and 653.32

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Solution

The fourth proportional to 1,302.74, 1,954.11 and 653.32 is: 979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.74 : 1,954.11 = 653.32 : x
  2. Step 2: Convert to fraction form
    1,302.74/1,954.11 = 653.32/x
  3. Step 3: Cross multiply
    1,302.74x = 1,954.11 × 653.32
  4. Step 4: Simplify right side
    1,302.74x = 1,276,659.15
  5. Step 5: Solve for x
    x = 1,276,659.15/1,302.74
  6. Step 6: Final answer
    x = 979.98

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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.