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Finding the Fourth Proportional to 1,384.66, 2,075.08 and 734.09

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Solution

The fourth proportional to 1,384.66, 2,075.08 and 734.09 is: 1,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.66 : 2,075.08 = 734.09 : x
  2. Step 2: Convert to fraction form
    1,384.66/2,075.08 = 734.09/x
  3. Step 3: Cross multiply
    1,384.66x = 2,075.08 × 734.09
  4. Step 4: Simplify right side
    1,384.66x = 1,523,295.48
  5. Step 5: Solve for x
    x = 1,523,295.48/1,384.66
  6. Step 6: Final answer
    x = 1,100.12

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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.