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Finding the Fourth Proportional to 973.19, 1,459.46 and 425.22

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Solution

The fourth proportional to 973.19, 1,459.46 and 425.22 is: 637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.19 : 1,459.46 = 425.22 : x
  2. Step 2: Convert to fraction form
    973.19/1,459.46 = 425.22/x
  3. Step 3: Cross multiply
    973.19x = 1,459.46 × 425.22
  4. Step 4: Simplify right side
    973.19x = 620,589.46
  5. Step 5: Solve for x
    x = 620,589.46/973.19
  6. Step 6: Final answer
    x = 637.69

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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.