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Finding the Fourth Proportional to 1,458.33, 2,012.50 and 795.21

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Solution

The fourth proportional to 1,458.33, 2,012.50 and 795.21 is: 1,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.33 : 2,012.50 = 795.21 : x
  2. Step 2: Convert to fraction form
    1,458.33/2,012.50 = 795.21/x
  3. Step 3: Cross multiply
    1,458.33x = 2,012.50 × 795.21
  4. Step 4: Simplify right side
    1,458.33x = 1,600,360.13
  5. Step 5: Solve for x
    x = 1,600,360.13/1,458.33
  6. Step 6: Final answer
    x = 1,097.39

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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.