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Finding the Fourth Proportional to 973.24, 1,459.66 and 425.12

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Solution

The fourth proportional to 973.24, 1,459.66 and 425.12 is: 637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.24 : 1,459.66 = 425.12 : x
  2. Step 2: Convert to fraction form
    973.24/1,459.66 = 425.12/x
  3. Step 3: Cross multiply
    973.24x = 1,459.66 × 425.12
  4. Step 4: Simplify right side
    973.24x = 620,530.66
  5. Step 5: Solve for x
    x = 620,530.66/973.24
  6. Step 6: Final answer
    x = 637.59

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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.