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Finding the Fourth Proportional to 976.68, 1,457.91 and 957.24

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Solution

The fourth proportional to 976.68, 1,457.91 and 957.24 is: 1,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,457.91 = 957.24 : x
  2. Step 2: Convert to fraction form
    976.68/1,457.91 = 957.24/x
  3. Step 3: Cross multiply
    976.68x = 1,457.91 × 957.24
  4. Step 4: Simplify right side
    976.68x = 1,395,569.77
  5. Step 5: Solve for x
    x = 1,395,569.77/976.68
  6. Step 6: Final answer
    x = 1,428.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.