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Finding the Fourth Proportional to 1,364.19, 2,045.34 and 715.38

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Solution

The fourth proportional to 1,364.19, 2,045.34 and 715.38 is: 1,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.19 : 2,045.34 = 715.38 : x
  2. Step 2: Convert to fraction form
    1,364.19/2,045.34 = 715.38/x
  3. Step 3: Cross multiply
    1,364.19x = 2,045.34 × 715.38
  4. Step 4: Simplify right side
    1,364.19x = 1,463,195.33
  5. Step 5: Solve for x
    x = 1,463,195.33/1,364.19
  6. Step 6: Final answer
    x = 1,072.57

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