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Finding the Fourth Proportional to 1,293.22, 1,784.64 and 703.76

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Solution

The fourth proportional to 1,293.22, 1,784.64 and 703.76 is: 971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.22 : 1,784.64 = 703.76 : x
  2. Step 2: Convert to fraction form
    1,293.22/1,784.64 = 703.76/x
  3. Step 3: Cross multiply
    1,293.22x = 1,784.64 × 703.76
  4. Step 4: Simplify right side
    1,293.22x = 1,255,958.25
  5. Step 5: Solve for x
    x = 1,255,958.25/1,293.22
  6. Step 6: Final answer
    x = 971.19

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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.