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Finding the Fourth Proportional to 1,495.59, 2,239.97 and 716.14

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Solution

The fourth proportional to 1,495.59, 2,239.97 and 716.14 is: 1,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.59 : 2,239.97 = 716.14 : x
  2. Step 2: Convert to fraction form
    1,495.59/2,239.97 = 716.14/x
  3. Step 3: Cross multiply
    1,495.59x = 2,239.97 × 716.14
  4. Step 4: Simplify right side
    1,495.59x = 1,604,132.12
  5. Step 5: Solve for x
    x = 1,604,132.12/1,495.59
  6. Step 6: Final answer
    x = 1,072.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.