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Finding the Fourth Proportional to 1,075.92, 1,483.92 and 683.20

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Solution

The fourth proportional to 1,075.92, 1,483.92 and 683.20 is: 942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.92 : 1,483.92 = 683.20 : x
  2. Step 2: Convert to fraction form
    1,075.92/1,483.92 = 683.20/x
  3. Step 3: Cross multiply
    1,075.92x = 1,483.92 × 683.20
  4. Step 4: Simplify right side
    1,075.92x = 1,013,814.14
  5. Step 5: Solve for x
    x = 1,013,814.14/1,075.92
  6. Step 6: Final answer
    x = 942.28

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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.