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Finding the Fourth Proportional to 1,458.15, 2,012.25 and 795.01

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Solution

The fourth proportional to 1,458.15, 2,012.25 and 795.01 is: 1,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.15 : 2,012.25 = 795.01 : x
  2. Step 2: Convert to fraction form
    1,458.15/2,012.25 = 795.01/x
  3. Step 3: Cross multiply
    1,458.15x = 2,012.25 × 795.01
  4. Step 4: Simplify right side
    1,458.15x = 1,599,752.70
  5. Step 5: Solve for x
    x = 1,599,752.70/1,458.15
  6. Step 6: Final answer
    x = 1,097.11

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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.