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Finding the Fourth Proportional to 1,455, 2,007.90 and 834

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Solution

The fourth proportional to 1,455, 2,007.90 and 834 is: 1,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455 : 2,007.90 = 834 : x
  2. Step 2: Convert to fraction form
    1,455/2,007.90 = 834/x
  3. Step 3: Cross multiply
    1,455x = 2,007.90 × 834
  4. Step 4: Simplify right side
    1,455x = 1,674,588.60
  5. Step 5: Solve for x
    x = 1,674,588.60/1,455
  6. Step 6: Final answer
    x = 1,150.92

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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.