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Finding the Fourth Proportional to 1,263.12, 1,743.02 and 703.54

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Solution

The fourth proportional to 1,263.12, 1,743.02 and 703.54 is: 970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.12 : 1,743.02 = 703.54 : x
  2. Step 2: Convert to fraction form
    1,263.12/1,743.02 = 703.54/x
  3. Step 3: Cross multiply
    1,263.12x = 1,743.02 × 703.54
  4. Step 4: Simplify right side
    1,263.12x = 1,226,285.59
  5. Step 5: Solve for x
    x = 1,226,285.59/1,263.12
  6. Step 6: Final answer
    x = 970.84

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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.