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Finding the Fourth Proportional to 975.68, 1,463.87 and 456.06

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Solution

The fourth proportional to 975.68, 1,463.87 and 456.06 is: 684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.68 : 1,463.87 = 456.06 : x
  2. Step 2: Convert to fraction form
    975.68/1,463.87 = 456.06/x
  3. Step 3: Cross multiply
    975.68x = 1,463.87 × 456.06
  4. Step 4: Simplify right side
    975.68x = 667,619.18
  5. Step 5: Solve for x
    x = 667,619.18/975.68
  6. Step 6: Final answer
    x = 684.26

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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.