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Finding the Fourth Proportional to 1,263.31, 1,743.33 and 703.75

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Solution

The fourth proportional to 1,263.31, 1,743.33 and 703.75 is: 971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.31 : 1,743.33 = 703.75 : x
  2. Step 2: Convert to fraction form
    1,263.31/1,743.33 = 703.75/x
  3. Step 3: Cross multiply
    1,263.31x = 1,743.33 × 703.75
  4. Step 4: Simplify right side
    1,263.31x = 1,226,868.03
  5. Step 5: Solve for x
    x = 1,226,868.03/1,263.31
  6. Step 6: Final answer
    x = 971.15

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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.