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Finding the Fourth Proportional to 735.32, 1,014.36 and 473.42

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Solution

The fourth proportional to 735.32, 1,014.36 and 473.42 is: 653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.32 : 1,014.36 = 473.42 : x
  2. Step 2: Convert to fraction form
    735.32/1,014.36 = 473.42/x
  3. Step 3: Cross multiply
    735.32x = 1,014.36 × 473.42
  4. Step 4: Simplify right side
    735.32x = 480,218.31
  5. Step 5: Solve for x
    x = 480,218.31/735.32
  6. Step 6: Final answer
    x = 653.07

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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.