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Finding the Fourth Proportional to 720.15, 1,080.23 and 392.10

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Solution

The fourth proportional to 720.15, 1,080.23 and 392.10 is: 588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.15 : 1,080.23 = 392.10 : x
  2. Step 2: Convert to fraction form
    720.15/1,080.23 = 392.10/x
  3. Step 3: Cross multiply
    720.15x = 1,080.23 × 392.10
  4. Step 4: Simplify right side
    720.15x = 423,556.22
  5. Step 5: Solve for x
    x = 423,556.22/720.15
  6. Step 6: Final answer
    x = 588.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.