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Finding the Fourth Proportional to 1,477.63, 2,215.50 and 783.85

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Solution

The fourth proportional to 1,477.63, 2,215.50 and 783.85 is: 1,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.63 : 2,215.50 = 783.85 : x
  2. Step 2: Convert to fraction form
    1,477.63/2,215.50 = 783.85/x
  3. Step 3: Cross multiply
    1,477.63x = 2,215.50 × 783.85
  4. Step 4: Simplify right side
    1,477.63x = 1,736,619.68
  5. Step 5: Solve for x
    x = 1,736,619.68/1,477.63
  6. Step 6: Final answer
    x = 1,175.27

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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.