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Finding the Fourth Proportional to 1,458.81, 2,013.09 and 795.63

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Solution

The fourth proportional to 1,458.81, 2,013.09 and 795.63 is: 1,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.81 : 2,013.09 = 795.63 : x
  2. Step 2: Convert to fraction form
    1,458.81/2,013.09 = 795.63/x
  3. Step 3: Cross multiply
    1,458.81x = 2,013.09 × 795.63
  4. Step 4: Simplify right side
    1,458.81x = 1,601,674.80
  5. Step 5: Solve for x
    x = 1,601,674.80/1,458.81
  6. Step 6: Final answer
    x = 1,097.93

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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.