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Finding the Fourth Proportional to 1,302.32, 1,954.65 and 653.42

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Solution

The fourth proportional to 1,302.32, 1,954.65 and 653.42 is: 980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.32 : 1,954.65 = 653.42 : x
  2. Step 2: Convert to fraction form
    1,302.32/1,954.65 = 653.42/x
  3. Step 3: Cross multiply
    1,302.32x = 1,954.65 × 653.42
  4. Step 4: Simplify right side
    1,302.32x = 1,277,207.40
  5. Step 5: Solve for x
    x = 1,277,207.40/1,302.32
  6. Step 6: Final answer
    x = 980.72

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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.