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Finding the Fourth Proportional to 1,384.25, 2,075.76 and 603.81

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Solution

The fourth proportional to 1,384.25, 2,075.76 and 603.81 is: 905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.25 : 2,075.76 = 603.81 : x
  2. Step 2: Convert to fraction form
    1,384.25/2,075.76 = 603.81/x
  3. Step 3: Cross multiply
    1,384.25x = 2,075.76 × 603.81
  4. Step 4: Simplify right side
    1,384.25x = 1,253,364.65
  5. Step 5: Solve for x
    x = 1,253,364.65/1,384.25
  6. Step 6: Final answer
    x = 905.45

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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.