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Finding the Fourth Proportional to 972, 1,457.99 and 386.97

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Solution

The fourth proportional to 972, 1,457.99 and 386.97 is: 580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    972 : 1,457.99 = 386.97 : x
  2. Step 2: Convert to fraction form
    972/1,457.99 = 386.97/x
  3. Step 3: Cross multiply
    972x = 1,457.99 × 386.97
  4. Step 4: Simplify right side
    972x = 564,198.39
  5. Step 5: Solve for x
    x = 564,198.39/972
  6. Step 6: Final answer
    x = 580.45

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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.