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Finding the Fourth Proportional to 1,075.68, 1,621.62 and 1,041.66

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Solution

The fourth proportional to 1,075.68, 1,621.62 and 1,041.66 is: 1,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.68 : 1,621.62 = 1,041.66 : x
  2. Step 2: Convert to fraction form
    1,075.68/1,621.62 = 1,041.66/x
  3. Step 3: Cross multiply
    1,075.68x = 1,621.62 × 1,041.66
  4. Step 4: Simplify right side
    1,075.68x = 1,689,176.69
  5. Step 5: Solve for x
    x = 1,689,176.69/1,075.68
  6. Step 6: Final answer
    x = 1,570.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.