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Finding the Fourth Proportional to 1,075.16, 1,482.72 and 681.48

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Solution

The fourth proportional to 1,075.16, 1,482.72 and 681.48 is: 939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.16 : 1,482.72 = 681.48 : x
  2. Step 2: Convert to fraction form
    1,075.16/1,482.72 = 681.48/x
  3. Step 3: Cross multiply
    1,075.16x = 1,482.72 × 681.48
  4. Step 4: Simplify right side
    1,075.16x = 1,010,444.03
  5. Step 5: Solve for x
    x = 1,010,444.03/1,075.16
  6. Step 6: Final answer
    x = 939.81

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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.