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Finding the Fourth Proportional to 1,075.66, 1,485.80 and 830.01

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Solution

The fourth proportional to 1,075.66, 1,485.80 and 830.01 is: 1,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.66 : 1,485.80 = 830.01 : x
  2. Step 2: Convert to fraction form
    1,075.66/1,485.80 = 830.01/x
  3. Step 3: Cross multiply
    1,075.66x = 1,485.80 × 830.01
  4. Step 4: Simplify right side
    1,075.66x = 1,233,233.39
  5. Step 5: Solve for x
    x = 1,233,233.39/1,075.66
  6. Step 6: Final answer
    x = 1,146.49

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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.