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Finding the Fourth Proportional to 1,068.10, 1,600.79 and 482.47

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Solution

The fourth proportional to 1,068.10, 1,600.79 and 482.47 is: 723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.10 : 1,600.79 = 482.47 : x
  2. Step 2: Convert to fraction form
    1,068.10/1,600.79 = 482.47/x
  3. Step 3: Cross multiply
    1,068.10x = 1,600.79 × 482.47
  4. Step 4: Simplify right side
    1,068.10x = 772,326.74
  5. Step 5: Solve for x
    x = 772,326.74/1,068.10
  6. Step 6: Final answer
    x = 723.09

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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.