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Finding the Fourth Proportional to 975.74, 1,464.42 and 735.17

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Solution

The fourth proportional to 975.74, 1,464.42 and 735.17 is: 1,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.74 : 1,464.42 = 735.17 : x
  2. Step 2: Convert to fraction form
    975.74/1,464.42 = 735.17/x
  3. Step 3: Cross multiply
    975.74x = 1,464.42 × 735.17
  4. Step 4: Simplify right side
    975.74x = 1,076,597.65
  5. Step 5: Solve for x
    x = 1,076,597.65/975.74
  6. Step 6: Final answer
    x = 1,103.37

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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.