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Finding the Fourth Proportional to 970.52, 1,455.84 and 422.55

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Solution

The fourth proportional to 970.52, 1,455.84 and 422.55 is: 633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.52 : 1,455.84 = 422.55 : x
  2. Step 2: Convert to fraction form
    970.52/1,455.84 = 422.55/x
  3. Step 3: Cross multiply
    970.52x = 1,455.84 × 422.55
  4. Step 4: Simplify right side
    970.52x = 615,165.19
  5. Step 5: Solve for x
    x = 615,165.19/970.52
  6. Step 6: Final answer
    x = 633.85

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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.