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Finding the Fourth Proportional to 970.14, 1,454.83 and 421.94

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Solution

The fourth proportional to 970.14, 1,454.83 and 421.94 is: 632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.14 : 1,454.83 = 421.94 : x
  2. Step 2: Convert to fraction form
    970.14/1,454.83 = 421.94/x
  3. Step 3: Cross multiply
    970.14x = 1,454.83 × 421.94
  4. Step 4: Simplify right side
    970.14x = 613,853.55
  5. Step 5: Solve for x
    x = 613,853.55/970.14
  6. Step 6: Final answer
    x = 632.74

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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.