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Finding the Fourth Proportional to 973.44, 1,459.94 and 479.34

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Solution

The fourth proportional to 973.44, 1,459.94 and 479.34 is: 718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.44 : 1,459.94 = 479.34 : x
  2. Step 2: Convert to fraction form
    973.44/1,459.94 = 479.34/x
  3. Step 3: Cross multiply
    973.44x = 1,459.94 × 479.34
  4. Step 4: Simplify right side
    973.44x = 699,807.64
  5. Step 5: Solve for x
    x = 699,807.64/973.44
  6. Step 6: Final answer
    x = 718.90

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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.