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Finding the Fourth Proportional to 1,075.44, 1,611.93 and 458.76

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Solution

The fourth proportional to 1,075.44, 1,611.93 and 458.76 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.44 : 1,611.93 = 458.76 : x
  2. Step 2: Convert to fraction form
    1,075.44/1,611.93 = 458.76/x
  3. Step 3: Cross multiply
    1,075.44x = 1,611.93 × 458.76
  4. Step 4: Simplify right side
    1,075.44x = 739,489.01
  5. Step 5: Solve for x
    x = 739,489.01/1,075.44
  6. Step 6: Final answer
    x = 687.62

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Why These Related Problems?

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