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Finding the Fourth Proportional to 1,075.16, 1,611.70 and 459.02

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Solution

The fourth proportional to 1,075.16, 1,611.70 and 459.02 is: 688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.16 : 1,611.70 = 459.02 : x
  2. Step 2: Convert to fraction form
    1,075.16/1,611.70 = 459.02/x
  3. Step 3: Cross multiply
    1,075.16x = 1,611.70 × 459.02
  4. Step 4: Simplify right side
    1,075.16x = 739,805.42
  5. Step 5: Solve for x
    x = 739,805.42/1,075.16
  6. Step 6: Final answer
    x = 688.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.