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Finding the Fourth Proportional to 735.96, 1,101.42 and 705.72

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Solution

The fourth proportional to 735.96, 1,101.42 and 705.72 is: 1,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.96 : 1,101.42 = 705.72 : x
  2. Step 2: Convert to fraction form
    735.96/1,101.42 = 705.72/x
  3. Step 3: Cross multiply
    735.96x = 1,101.42 × 705.72
  4. Step 4: Simplify right side
    735.96x = 777,294.12
  5. Step 5: Solve for x
    x = 777,294.12/735.96
  6. Step 6: Final answer
    x = 1,056.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.