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Finding the Fourth Proportional to 975.93, 1,463.04 and 482.07

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Solution

The fourth proportional to 975.93, 1,463.04 and 482.07 is: 722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.93 : 1,463.04 = 482.07 : x
  2. Step 2: Convert to fraction form
    975.93/1,463.04 = 482.07/x
  3. Step 3: Cross multiply
    975.93x = 1,463.04 × 482.07
  4. Step 4: Simplify right side
    975.93x = 705,287.69
  5. Step 5: Solve for x
    x = 705,287.69/975.93
  6. Step 6: Final answer
    x = 722.68

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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.