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Finding the Fourth Proportional to 735.45, 1,011.69 and 615.17

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Solution

The fourth proportional to 735.45, 1,011.69 and 615.17 is: 846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,011.69 = 615.17 : x
  2. Step 2: Convert to fraction form
    735.45/1,011.69 = 615.17/x
  3. Step 3: Cross multiply
    735.45x = 1,011.69 × 615.17
  4. Step 4: Simplify right side
    735.45x = 622,356.28
  5. Step 5: Solve for x
    x = 622,356.28/735.45
  6. Step 6: Final answer
    x = 846.23

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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.