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Finding the Fourth Proportional to 973.22, 1,459.90 and 479.89

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Solution

The fourth proportional to 973.22, 1,459.90 and 479.89 is: 719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.22 : 1,459.90 = 479.89 : x
  2. Step 2: Convert to fraction form
    973.22/1,459.90 = 479.89/x
  3. Step 3: Cross multiply
    973.22x = 1,459.90 × 479.89
  4. Step 4: Simplify right side
    973.22x = 700,586.56
  5. Step 5: Solve for x
    x = 700,586.56/973.22
  6. Step 6: Final answer
    x = 719.87

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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.