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Finding the Fourth Proportional to 1,263.08, 1,742.96 and 766.14

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Solution

The fourth proportional to 1,263.08, 1,742.96 and 766.14 is: 1,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.08 : 1,742.96 = 766.14 : x
  2. Step 2: Convert to fraction form
    1,263.08/1,742.96 = 766.14/x
  3. Step 3: Cross multiply
    1,263.08x = 1,742.96 × 766.14
  4. Step 4: Simplify right side
    1,263.08x = 1,335,353.29
  5. Step 5: Solve for x
    x = 1,335,353.29/1,263.08
  6. Step 6: Final answer
    x = 1,057.22

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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.