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Finding the Fourth Proportional to 1,075.59, 1,610.28 and 612.27

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Solution

The fourth proportional to 1,075.59, 1,610.28 and 612.27 is: 916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.59 : 1,610.28 = 612.27 : x
  2. Step 2: Convert to fraction form
    1,075.59/1,610.28 = 612.27/x
  3. Step 3: Cross multiply
    1,075.59x = 1,610.28 × 612.27
  4. Step 4: Simplify right side
    1,075.59x = 985,926.14
  5. Step 5: Solve for x
    x = 985,926.14/1,075.59
  6. Step 6: Final answer
    x = 916.64

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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.