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Finding the Fourth Proportional to 735.35, 1,102.14 and 580.64

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Solution

The fourth proportional to 735.35, 1,102.14 and 580.64 is: 870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.35 : 1,102.14 = 580.64 : x
  2. Step 2: Convert to fraction form
    735.35/1,102.14 = 580.64/x
  3. Step 3: Cross multiply
    735.35x = 1,102.14 × 580.64
  4. Step 4: Simplify right side
    735.35x = 639,941.06
  5. Step 5: Solve for x
    x = 639,941.06/735.35
  6. Step 6: Final answer
    x = 870.26

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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.