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Finding the Fourth Proportional to 1,415.90, 1,954.17 and 786.63

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Solution

The fourth proportional to 1,415.90, 1,954.17 and 786.63 is: 1,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.90 : 1,954.17 = 786.63 : x
  2. Step 2: Convert to fraction form
    1,415.90/1,954.17 = 786.63/x
  3. Step 3: Cross multiply
    1,415.90x = 1,954.17 × 786.63
  4. Step 4: Simplify right side
    1,415.90x = 1,537,195.04
  5. Step 5: Solve for x
    x = 1,537,195.04/1,415.90
  6. Step 6: Final answer
    x = 1,085.67

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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.