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Finding the Fourth Proportional to 1,384.70, 2,075.24 and 562.01

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Solution

The fourth proportional to 1,384.70, 2,075.24 and 562.01 is: 842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.70 : 2,075.24 = 562.01 : x
  2. Step 2: Convert to fraction form
    1,384.70/2,075.24 = 562.01/x
  3. Step 3: Cross multiply
    1,384.70x = 2,075.24 × 562.01
  4. Step 4: Simplify right side
    1,384.70x = 1,166,292.45
  5. Step 5: Solve for x
    x = 1,166,292.45/1,384.70
  6. Step 6: Final answer
    x = 842.27

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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.