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Finding the Fourth Proportional to 972.75, 1,457.59 and 712.44

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Solution

The fourth proportional to 972.75, 1,457.59 and 712.44 is: 1,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.75 : 1,457.59 = 712.44 : x
  2. Step 2: Convert to fraction form
    972.75/1,457.59 = 712.44/x
  3. Step 3: Cross multiply
    972.75x = 1,457.59 × 712.44
  4. Step 4: Simplify right side
    972.75x = 1,038,445.42
  5. Step 5: Solve for x
    x = 1,038,445.42/972.75
  6. Step 6: Final answer
    x = 1,067.54

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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.