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Finding the Fourth Proportional to 973.88, 1,459.99 and 453.61

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Solution

The fourth proportional to 973.88, 1,459.99 and 453.61 is: 680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.88 : 1,459.99 = 453.61 : x
  2. Step 2: Convert to fraction form
    973.88/1,459.99 = 453.61/x
  3. Step 3: Cross multiply
    973.88x = 1,459.99 × 453.61
  4. Step 4: Simplify right side
    973.88x = 662,266.06
  5. Step 5: Solve for x
    x = 662,266.06/973.88
  6. Step 6: Final answer
    x = 680.03

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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.