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Finding the Fourth Proportional to 1,114.51, 1,538.09 and 716.40

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Solution

The fourth proportional to 1,114.51, 1,538.09 and 716.40 is: 988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.51 : 1,538.09 = 716.40 : x
  2. Step 2: Convert to fraction form
    1,114.51/1,538.09 = 716.40/x
  3. Step 3: Cross multiply
    1,114.51x = 1,538.09 × 716.40
  4. Step 4: Simplify right side
    1,114.51x = 1,101,884.09
  5. Step 5: Solve for x
    x = 1,101,884.09/1,114.51
  6. Step 6: Final answer
    x = 988.68

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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.