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Finding the Fourth Proportional to 1,263.09, 1,743.07 and 703.55

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Solution

The fourth proportional to 1,263.09, 1,743.07 and 703.55 is: 970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.09 : 1,743.07 = 703.55 : x
  2. Step 2: Convert to fraction form
    1,263.09/1,743.07 = 703.55/x
  3. Step 3: Cross multiply
    1,263.09x = 1,743.07 × 703.55
  4. Step 4: Simplify right side
    1,263.09x = 1,226,340.82
  5. Step 5: Solve for x
    x = 1,226,340.82/1,263.09
  6. Step 6: Final answer
    x = 970.90

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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.