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Finding the Fourth Proportional to 1,075.98, 1,485.36 and 840.27

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Solution

The fourth proportional to 1,075.98, 1,485.36 and 840.27 is: 1,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.98 : 1,485.36 = 840.27 : x
  2. Step 2: Convert to fraction form
    1,075.98/1,485.36 = 840.27/x
  3. Step 3: Cross multiply
    1,075.98x = 1,485.36 × 840.27
  4. Step 4: Simplify right side
    1,075.98x = 1,248,103.45
  5. Step 5: Solve for x
    x = 1,248,103.45/1,075.98
  6. Step 6: Final answer
    x = 1,159.97

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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.