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Finding the Fourth Proportional to 735.99, 1,015.28 and 456.14

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Solution

The fourth proportional to 735.99, 1,015.28 and 456.14 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.99 : 1,015.28 = 456.14 : x
  2. Step 2: Convert to fraction form
    735.99/1,015.28 = 456.14/x
  3. Step 3: Cross multiply
    735.99x = 1,015.28 × 456.14
  4. Step 4: Simplify right side
    735.99x = 463,109.82
  5. Step 5: Solve for x
    x = 463,109.82/735.99
  6. Step 6: Final answer
    x = 629.23

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1.5x scale

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.