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Finding the Fourth Proportional to 1,075.00, 1,483.56 and 808.96

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Solution

The fourth proportional to 1,075.00, 1,483.56 and 808.96 is: 1,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.00 : 1,483.56 = 808.96 : x
  2. Step 2: Convert to fraction form
    1,075.00/1,483.56 = 808.96/x
  3. Step 3: Cross multiply
    1,075.00x = 1,483.56 × 808.96
  4. Step 4: Simplify right side
    1,075.00x = 1,200,139.58
  5. Step 5: Solve for x
    x = 1,200,139.58/1,075.00
  6. Step 6: Final answer
    x = 1,116.41

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