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Finding the Fourth Proportional to 975.75, 1,463.87 and 291.75

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Solution

The fourth proportional to 975.75, 1,463.87 and 291.75 is: 437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.75 : 1,463.87 = 291.75 : x
  2. Step 2: Convert to fraction form
    975.75/1,463.87 = 291.75/x
  3. Step 3: Cross multiply
    975.75x = 1,463.87 × 291.75
  4. Step 4: Simplify right side
    975.75x = 427,082.61
  5. Step 5: Solve for x
    x = 427,082.61/975.75
  6. Step 6: Final answer
    x = 437.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.