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Finding the Fourth Proportional to 1,262.97, 1,742.72 and 703.40

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Solution

The fourth proportional to 1,262.97, 1,742.72 and 703.40 is: 970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.97 : 1,742.72 = 703.40 : x
  2. Step 2: Convert to fraction form
    1,262.97/1,742.72 = 703.40/x
  3. Step 3: Cross multiply
    1,262.97x = 1,742.72 × 703.40
  4. Step 4: Simplify right side
    1,262.97x = 1,225,817.02
  5. Step 5: Solve for x
    x = 1,225,817.02/1,262.97
  6. Step 6: Final answer
    x = 970.58

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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.