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Finding the Fourth Proportional to 970.08, 1,453.86 and 421.53

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Solution

The fourth proportional to 970.08, 1,453.86 and 421.53 is: 631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.08 : 1,453.86 = 421.53 : x
  2. Step 2: Convert to fraction form
    970.08/1,453.86 = 421.53/x
  3. Step 3: Cross multiply
    970.08x = 1,453.86 × 421.53
  4. Step 4: Simplify right side
    970.08x = 612,845.61
  5. Step 5: Solve for x
    x = 612,845.61/970.08
  6. Step 6: Final answer
    x = 631.75

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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.