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Finding the Fourth Proportional to 969.42, 1,457.01 and 456.78

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Solution

The fourth proportional to 969.42, 1,457.01 and 456.78 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.42 : 1,457.01 = 456.78 : x
  2. Step 2: Convert to fraction form
    969.42/1,457.01 = 456.78/x
  3. Step 3: Cross multiply
    969.42x = 1,457.01 × 456.78
  4. Step 4: Simplify right side
    969.42x = 665,533.03
  5. Step 5: Solve for x
    x = 665,533.03/969.42
  6. Step 6: Final answer
    x = 686.53

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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.