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Finding the Fourth Proportional to 1,263.24, 1,742.85 and 765.72

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Solution

The fourth proportional to 1,263.24, 1,742.85 and 765.72 is: 1,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.24 : 1,742.85 = 765.72 : x
  2. Step 2: Convert to fraction form
    1,263.24/1,742.85 = 765.72/x
  3. Step 3: Cross multiply
    1,263.24x = 1,742.85 × 765.72
  4. Step 4: Simplify right side
    1,263.24x = 1,334,535.10
  5. Step 5: Solve for x
    x = 1,334,535.10/1,263.24
  6. Step 6: Final answer
    x = 1,056.44

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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.