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Finding the Fourth Proportional to 1,458.49, 2,012.65 and 795.33

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Solution

The fourth proportional to 1,458.49, 2,012.65 and 795.33 is: 1,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.49 : 2,012.65 = 795.33 : x
  2. Step 2: Convert to fraction form
    1,458.49/2,012.65 = 795.33/x
  3. Step 3: Cross multiply
    1,458.49x = 2,012.65 × 795.33
  4. Step 4: Simplify right side
    1,458.49x = 1,600,710.86
  5. Step 5: Solve for x
    x = 1,600,710.86/1,458.49
  6. Step 6: Final answer
    x = 1,097.52

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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.