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Finding the Fourth Proportional to 1,214.50, 1,675.41 and 766.17

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Solution

The fourth proportional to 1,214.50, 1,675.41 and 766.17 is: 1,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.50 : 1,675.41 = 766.17 : x
  2. Step 2: Convert to fraction form
    1,214.50/1,675.41 = 766.17/x
  3. Step 3: Cross multiply
    1,214.50x = 1,675.41 × 766.17
  4. Step 4: Simplify right side
    1,214.50x = 1,283,640.50
  5. Step 5: Solve for x
    x = 1,283,640.50/1,214.50
  6. Step 6: Final answer
    x = 1,056.93

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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.