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Finding the Fourth Proportional to 1,384.17, 2,075.45 and 518.55

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Solution

The fourth proportional to 1,384.17, 2,075.45 and 518.55 is: 777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.17 : 2,075.45 = 518.55 : x
  2. Step 2: Convert to fraction form
    1,384.17/2,075.45 = 518.55/x
  3. Step 3: Cross multiply
    1,384.17x = 2,075.45 × 518.55
  4. Step 4: Simplify right side
    1,384.17x = 1,076,222.00
  5. Step 5: Solve for x
    x = 1,076,222.00/1,384.17
  6. Step 6: Final answer
    x = 777.52

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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.