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Finding the Fourth Proportional to 1,384.02, 1,907.46 and 1,010.34

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Solution

The fourth proportional to 1,384.02, 1,907.46 and 1,010.34 is: 1,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.02 : 1,907.46 = 1,010.34 : x
  2. Step 2: Convert to fraction form
    1,384.02/1,907.46 = 1,010.34/x
  3. Step 3: Cross multiply
    1,384.02x = 1,907.46 × 1,010.34
  4. Step 4: Simplify right side
    1,384.02x = 1,927,183.14
  5. Step 5: Solve for x
    x = 1,927,183.14/1,384.02
  6. Step 6: Final answer
    x = 1,392.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.