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Finding the Fourth Proportional to 973.88, 1,457.66 and 644.92

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Solution

The fourth proportional to 973.88, 1,457.66 and 644.92 is: 965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.88 : 1,457.66 = 644.92 : x
  2. Step 2: Convert to fraction form
    973.88/1,457.66 = 644.92/x
  3. Step 3: Cross multiply
    973.88x = 1,457.66 × 644.92
  4. Step 4: Simplify right side
    973.88x = 940,074.09
  5. Step 5: Solve for x
    x = 940,074.09/973.88
  6. Step 6: Final answer
    x = 965.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.