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Finding the Fourth Proportional to 1,262.60, 1,742.14 and 738.53

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Solution

The fourth proportional to 1,262.60, 1,742.14 and 738.53 is: 1,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.60 : 1,742.14 = 738.53 : x
  2. Step 2: Convert to fraction form
    1,262.60/1,742.14 = 738.53/x
  3. Step 3: Cross multiply
    1,262.60x = 1,742.14 × 738.53
  4. Step 4: Simplify right side
    1,262.60x = 1,286,622.65
  5. Step 5: Solve for x
    x = 1,286,622.65/1,262.60
  6. Step 6: Final answer
    x = 1,019.03

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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.