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Finding the Fourth Proportional to 971.93, 1,457.89 and 322.71

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Solution

The fourth proportional to 971.93, 1,457.89 and 322.71 is: 484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.93 : 1,457.89 = 322.71 : x
  2. Step 2: Convert to fraction form
    971.93/1,457.89 = 322.71/x
  3. Step 3: Cross multiply
    971.93x = 1,457.89 × 322.71
  4. Step 4: Simplify right side
    971.93x = 470,475.68
  5. Step 5: Solve for x
    x = 470,475.68/971.93
  6. Step 6: Final answer
    x = 484.07

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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.