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Finding the Fourth Proportional to 1,013.28, 1,519.97 and 435.75

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Solution

The fourth proportional to 1,013.28, 1,519.97 and 435.75 is: 653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.28 : 1,519.97 = 435.75 : x
  2. Step 2: Convert to fraction form
    1,013.28/1,519.97 = 435.75/x
  3. Step 3: Cross multiply
    1,013.28x = 1,519.97 × 435.75
  4. Step 4: Simplify right side
    1,013.28x = 662,326.93
  5. Step 5: Solve for x
    x = 662,326.93/1,013.28
  6. Step 6: Final answer
    x = 653.65

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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.