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Finding the Fourth Proportional to 1,458.52, 2,012.52 and 869.08

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Solution

The fourth proportional to 1,458.52, 2,012.52 and 869.08 is: 1,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.52 : 2,012.52 = 869.08 : x
  2. Step 2: Convert to fraction form
    1,458.52/2,012.52 = 869.08/x
  3. Step 3: Cross multiply
    1,458.52x = 2,012.52 × 869.08
  4. Step 4: Simplify right side
    1,458.52x = 1,749,040.88
  5. Step 5: Solve for x
    x = 1,749,040.88/1,458.52
  6. Step 6: Final answer
    x = 1,199.19

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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.