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Finding the Fourth Proportional to 971.79, 1,457.74 and 484.68

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Solution

The fourth proportional to 971.79, 1,457.74 and 484.68 is: 727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.79 : 1,457.74 = 484.68 : x
  2. Step 2: Convert to fraction form
    971.79/1,457.74 = 484.68/x
  3. Step 3: Cross multiply
    971.79x = 1,457.74 × 484.68
  4. Step 4: Simplify right side
    971.79x = 706,537.42
  5. Step 5: Solve for x
    x = 706,537.42/971.79
  6. Step 6: Final answer
    x = 727.05

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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.