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Finding the Fourth Proportional to 1,114.06, 1,537.96 and 721.40

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Solution

The fourth proportional to 1,114.06, 1,537.96 and 721.40 is: 995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.06 : 1,537.96 = 721.40 : x
  2. Step 2: Convert to fraction form
    1,114.06/1,537.96 = 721.40/x
  3. Step 3: Cross multiply
    1,114.06x = 1,537.96 × 721.40
  4. Step 4: Simplify right side
    1,114.06x = 1,109,484.34
  5. Step 5: Solve for x
    x = 1,109,484.34/1,114.06
  6. Step 6: Final answer
    x = 995.89

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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.