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Finding the Fourth Proportional to 735.08, 1,102.32 and 460.76

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Solution

The fourth proportional to 735.08, 1,102.32 and 460.76 is: 690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.08 : 1,102.32 = 460.76 : x
  2. Step 2: Convert to fraction form
    735.08/1,102.32 = 460.76/x
  3. Step 3: Cross multiply
    735.08x = 1,102.32 × 460.76
  4. Step 4: Simplify right side
    735.08x = 507,904.96
  5. Step 5: Solve for x
    x = 507,904.96/735.08
  6. Step 6: Final answer
    x = 690.95

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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.