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Finding the Fourth Proportional to 1,458.56, 2,012.93 and 820.45

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Solution

The fourth proportional to 1,458.56, 2,012.93 and 820.45 is: 1,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.56 : 2,012.93 = 820.45 : x
  2. Step 2: Convert to fraction form
    1,458.56/2,012.93 = 820.45/x
  3. Step 3: Cross multiply
    1,458.56x = 2,012.93 × 820.45
  4. Step 4: Simplify right side
    1,458.56x = 1,651,513.26
  5. Step 5: Solve for x
    x = 1,651,513.26/1,458.56
  6. Step 6: Final answer
    x = 1,132.29

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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.