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Finding the Fourth Proportional to 1,149.04, 1,714.64 and 1,026.33

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Solution

The fourth proportional to 1,149.04, 1,714.64 and 1,026.33 is: 1,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.04 : 1,714.64 = 1,026.33 : x
  2. Step 2: Convert to fraction form
    1,149.04/1,714.64 = 1,026.33/x
  3. Step 3: Cross multiply
    1,149.04x = 1,714.64 × 1,026.33
  4. Step 4: Simplify right side
    1,149.04x = 1,759,786.47
  5. Step 5: Solve for x
    x = 1,759,786.47/1,149.04
  6. Step 6: Final answer
    x = 1,531.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.