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Finding the Fourth Proportional to 972, 1,457.28 and 625.72

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Solution

The fourth proportional to 972, 1,457.28 and 625.72 is: 938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    972 : 1,457.28 = 625.72 : x
  2. Step 2: Convert to fraction form
    972/1,457.28 = 625.72/x
  3. Step 3: Cross multiply
    972x = 1,457.28 × 625.72
  4. Step 4: Simplify right side
    972x = 911,849.24
  5. Step 5: Solve for x
    x = 911,849.24/972
  6. Step 6: Final answer
    x = 938.12

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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.