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Finding the Fourth Proportional to 1,458.89, 2,013.36 and 795.76

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Solution

The fourth proportional to 1,458.89, 2,013.36 and 795.76 is: 1,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.89 : 2,013.36 = 795.76 : x
  2. Step 2: Convert to fraction form
    1,458.89/2,013.36 = 795.76/x
  3. Step 3: Cross multiply
    1,458.89x = 2,013.36 × 795.76
  4. Step 4: Simplify right side
    1,458.89x = 1,602,143.34
  5. Step 5: Solve for x
    x = 1,602,143.34/1,458.89
  6. Step 6: Final answer
    x = 1,098.19

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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.