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Finding the Fourth Proportional to 1,505.55, 2,077.57 and 946

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Solution

The fourth proportional to 1,505.55, 2,077.57 and 946 is: 1,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.55 : 2,077.57 = 946 : x
  2. Step 2: Convert to fraction form
    1,505.55/2,077.57 = 946/x
  3. Step 3: Cross multiply
    1,505.55x = 2,077.57 × 946
  4. Step 4: Simplify right side
    1,505.55x = 1,965,381.22
  5. Step 5: Solve for x
    x = 1,965,381.22/1,505.55
  6. Step 6: Final answer
    x = 1,305.42

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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.