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Finding the Fourth Proportional to 1,505.57, 2,077.49 and 946.01

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Solution

The fourth proportional to 1,505.57, 2,077.49 and 946.01 is: 1,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.57 : 2,077.49 = 946.01 : x
  2. Step 2: Convert to fraction form
    1,505.57/2,077.49 = 946.01/x
  3. Step 3: Cross multiply
    1,505.57x = 2,077.49 × 946.01
  4. Step 4: Simplify right side
    1,505.57x = 1,965,311.20
  5. Step 5: Solve for x
    x = 1,965,311.20/1,505.57
  6. Step 6: Final answer
    x = 1,305.36

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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.