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Finding the Fourth Proportional to 1,262.54, 1,742.26 and 703.03

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Solution

The fourth proportional to 1,262.54, 1,742.26 and 703.03 is: 970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.54 : 1,742.26 = 703.03 : x
  2. Step 2: Convert to fraction form
    1,262.54/1,742.26 = 703.03/x
  3. Step 3: Cross multiply
    1,262.54x = 1,742.26 × 703.03
  4. Step 4: Simplify right side
    1,262.54x = 1,224,859.52
  5. Step 5: Solve for x
    x = 1,224,859.52/1,262.54
  6. Step 6: Final answer
    x = 970.16

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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.