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Finding the Fourth Proportional to 1,013.84, 1,519.56 and 465.56

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Solution

The fourth proportional to 1,013.84, 1,519.56 and 465.56 is: 697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.84 : 1,519.56 = 465.56 : x
  2. Step 2: Convert to fraction form
    1,013.84/1,519.56 = 465.56/x
  3. Step 3: Cross multiply
    1,013.84x = 1,519.56 × 465.56
  4. Step 4: Simplify right side
    1,013.84x = 707,446.35
  5. Step 5: Solve for x
    x = 707,446.35/1,013.84
  6. Step 6: Final answer
    x = 697.79

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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.