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Finding the Fourth Proportional to 1,458.71, 2,013.00 and 795.52

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Solution

The fourth proportional to 1,458.71, 2,013.00 and 795.52 is: 1,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.71 : 2,013.00 = 795.52 : x
  2. Step 2: Convert to fraction form
    1,458.71/2,013.00 = 795.52/x
  3. Step 3: Cross multiply
    1,458.71x = 2,013.00 × 795.52
  4. Step 4: Simplify right side
    1,458.71x = 1,601,385.77
  5. Step 5: Solve for x
    x = 1,601,385.77/1,458.71
  6. Step 6: Final answer
    x = 1,097.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.