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Finding the Fourth Proportional to 703.44, 1,051.44 and 688.86

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Solution

The fourth proportional to 703.44, 1,051.44 and 688.86 is: 1,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.44 : 1,051.44 = 688.86 : x
  2. Step 2: Convert to fraction form
    703.44/1,051.44 = 688.86/x
  3. Step 3: Cross multiply
    703.44x = 1,051.44 × 688.86
  4. Step 4: Simplify right side
    703.44x = 724,294.96
  5. Step 5: Solve for x
    x = 724,294.96/703.44
  6. Step 6: Final answer
    x = 1,029.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.