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Finding the Fourth Proportional to 1,496.72, 2,065.62 and 907.67

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Solution

The fourth proportional to 1,496.72, 2,065.62 and 907.67 is: 1,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.72 : 2,065.62 = 907.67 : x
  2. Step 2: Convert to fraction form
    1,496.72/2,065.62 = 907.67/x
  3. Step 3: Cross multiply
    1,496.72x = 2,065.62 × 907.67
  4. Step 4: Simplify right side
    1,496.72x = 1,874,890.98
  5. Step 5: Solve for x
    x = 1,874,890.98/1,496.72
  6. Step 6: Final answer
    x = 1,252.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.