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Finding the Fourth Proportional to 1,538.53, 2,305.94 and 715.84

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Solution

The fourth proportional to 1,538.53, 2,305.94 and 715.84 is: 1,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.53 : 2,305.94 = 715.84 : x
  2. Step 2: Convert to fraction form
    1,538.53/2,305.94 = 715.84/x
  3. Step 3: Cross multiply
    1,538.53x = 2,305.94 × 715.84
  4. Step 4: Simplify right side
    1,538.53x = 1,650,674.75
  5. Step 5: Solve for x
    x = 1,650,674.75/1,538.53
  6. Step 6: Final answer
    x = 1,072.89

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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.