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Finding the Fourth Proportional to 1,263.40, 1,743.42 and 703.86

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Solution

The fourth proportional to 1,263.40, 1,743.42 and 703.86 is: 971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.40 : 1,743.42 = 703.86 : x
  2. Step 2: Convert to fraction form
    1,263.40/1,743.42 = 703.86/x
  3. Step 3: Cross multiply
    1,263.40x = 1,743.42 × 703.86
  4. Step 4: Simplify right side
    1,263.40x = 1,227,123.60
  5. Step 5: Solve for x
    x = 1,227,123.60/1,263.40
  6. Step 6: Final answer
    x = 971.29

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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.