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Finding the Fourth Proportional to 1,293.32, 1,784.78 and 703.86

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Solution

The fourth proportional to 1,293.32, 1,784.78 and 703.86 is: 971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.32 : 1,784.78 = 703.86 : x
  2. Step 2: Convert to fraction form
    1,293.32/1,784.78 = 703.86/x
  3. Step 3: Cross multiply
    1,293.32x = 1,784.78 × 703.86
  4. Step 4: Simplify right side
    1,293.32x = 1,256,246.70
  5. Step 5: Solve for x
    x = 1,256,246.70/1,293.32
  6. Step 6: Final answer
    x = 971.34

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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.