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Finding the Fourth Proportional to 975.02, 1,463.13 and 397.89

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Solution

The fourth proportional to 975.02, 1,463.13 and 397.89 is: 597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.02 : 1,463.13 = 397.89 : x
  2. Step 2: Convert to fraction form
    975.02/1,463.13 = 397.89/x
  3. Step 3: Cross multiply
    975.02x = 1,463.13 × 397.89
  4. Step 4: Simplify right side
    975.02x = 582,164.80
  5. Step 5: Solve for x
    x = 582,164.80/975.02
  6. Step 6: Final answer
    x = 597.08

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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.