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Finding the Fourth Proportional to 713.10, 1,069.65 and 482.10

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Solution

The fourth proportional to 713.10, 1,069.65 and 482.10 is: 723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.10 : 1,069.65 = 482.10 : x
  2. Step 2: Convert to fraction form
    713.10/1,069.65 = 482.10/x
  3. Step 3: Cross multiply
    713.10x = 1,069.65 × 482.10
  4. Step 4: Simplify right side
    713.10x = 515,678.27
  5. Step 5: Solve for x
    x = 515,678.27/713.10
  6. Step 6: Final answer
    x = 723.15

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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.