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Finding the Fourth Proportional to 1,458.78, 2,013.08 and 795.60

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Solution

The fourth proportional to 1,458.78, 2,013.08 and 795.60 is: 1,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.78 : 2,013.08 = 795.60 : x
  2. Step 2: Convert to fraction form
    1,458.78/2,013.08 = 795.60/x
  3. Step 3: Cross multiply
    1,458.78x = 2,013.08 × 795.60
  4. Step 4: Simplify right side
    1,458.78x = 1,601,606.45
  5. Step 5: Solve for x
    x = 1,601,606.45/1,458.78
  6. Step 6: Final answer
    x = 1,097.91

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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.