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Finding the Fourth Proportional to 970, 1,455.91 and 754.94

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Solution

The fourth proportional to 970, 1,455.91 and 754.94 is: 1,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    970 : 1,455.91 = 754.94 : x
  2. Step 2: Convert to fraction form
    970/1,455.91 = 754.94/x
  3. Step 3: Cross multiply
    970x = 1,455.91 × 754.94
  4. Step 4: Simplify right side
    970x = 1,099,124.70
  5. Step 5: Solve for x
    x = 1,099,124.70/970
  6. Step 6: Final answer
    x = 1,133.12

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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.