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Finding the Fourth Proportional to 1,263.12, 1,742.82 and 765.74

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Solution

The fourth proportional to 1,263.12, 1,742.82 and 765.74 is: 1,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.12 : 1,742.82 = 765.74 : x
  2. Step 2: Convert to fraction form
    1,263.12/1,742.82 = 765.74/x
  3. Step 3: Cross multiply
    1,263.12x = 1,742.82 × 765.74
  4. Step 4: Simplify right side
    1,263.12x = 1,334,548.47
  5. Step 5: Solve for x
    x = 1,334,548.47/1,263.12
  6. Step 6: Final answer
    x = 1,056.55

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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.