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Finding the Fourth Proportional to 1,075.06, 1,612.46 and 305.50

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Solution

The fourth proportional to 1,075.06, 1,612.46 and 305.50 is: 458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.06 : 1,612.46 = 305.50 : x
  2. Step 2: Convert to fraction form
    1,075.06/1,612.46 = 305.50/x
  3. Step 3: Cross multiply
    1,075.06x = 1,612.46 × 305.50
  4. Step 4: Simplify right side
    1,075.06x = 492,606.53
  5. Step 5: Solve for x
    x = 492,606.53/1,075.06
  6. Step 6: Final answer
    x = 458.21

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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.