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Finding the Fourth Proportional to 720.10, 1,080.24 and 287.26

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Solution

The fourth proportional to 720.10, 1,080.24 and 287.26 is: 430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.10 : 1,080.24 = 287.26 : x
  2. Step 2: Convert to fraction form
    720.10/1,080.24 = 287.26/x
  3. Step 3: Cross multiply
    720.10x = 1,080.24 × 287.26
  4. Step 4: Simplify right side
    720.10x = 310,309.74
  5. Step 5: Solve for x
    x = 310,309.74/720.10
  6. Step 6: Final answer
    x = 430.93

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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.