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Finding the Fourth Proportional to 1,075.83, 1,483.97 and 949.47

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Solution

The fourth proportional to 1,075.83, 1,483.97 and 949.47 is: 1,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.83 : 1,483.97 = 949.47 : x
  2. Step 2: Convert to fraction form
    1,075.83/1,483.97 = 949.47/x
  3. Step 3: Cross multiply
    1,075.83x = 1,483.97 × 949.47
  4. Step 4: Simplify right side
    1,075.83x = 1,408,980.25
  5. Step 5: Solve for x
    x = 1,408,980.25/1,075.83
  6. Step 6: Final answer
    x = 1,309.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.