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Finding the Fourth Proportional to 1,013.07, 1,519.74 and 355.08

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Solution

The fourth proportional to 1,013.07, 1,519.74 and 355.08 is: 532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.07 : 1,519.74 = 355.08 : x
  2. Step 2: Convert to fraction form
    1,013.07/1,519.74 = 355.08/x
  3. Step 3: Cross multiply
    1,013.07x = 1,519.74 × 355.08
  4. Step 4: Simplify right side
    1,013.07x = 539,629.28
  5. Step 5: Solve for x
    x = 539,629.28/1,013.07
  6. Step 6: Final answer
    x = 532.67

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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.