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Finding the Fourth Proportional to 975.53, 1,463.07 and 282.05

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Solution

The fourth proportional to 975.53, 1,463.07 and 282.05 is: 423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.53 : 1,463.07 = 282.05 : x
  2. Step 2: Convert to fraction form
    975.53/1,463.07 = 282.05/x
  3. Step 3: Cross multiply
    975.53x = 1,463.07 × 282.05
  4. Step 4: Simplify right side
    975.53x = 412,651.58
  5. Step 5: Solve for x
    x = 412,651.58/975.53
  6. Step 6: Final answer
    x = 423.00

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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.