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Finding the Fourth Proportional to 970.53, 1,455.53 and 422.58

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Solution

The fourth proportional to 970.53, 1,455.53 and 422.58 is: 633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.53 : 1,455.53 = 422.58 : x
  2. Step 2: Convert to fraction form
    970.53/1,455.53 = 422.58/x
  3. Step 3: Cross multiply
    970.53x = 1,455.53 × 422.58
  4. Step 4: Simplify right side
    970.53x = 615,081.21
  5. Step 5: Solve for x
    x = 615,081.21/970.53
  6. Step 6: Final answer
    x = 633.76

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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.