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Finding the Fourth Proportional to 976.75, 1,465.13 and 456.59

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Solution

The fourth proportional to 976.75, 1,465.13 and 456.59 is: 684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.75 : 1,465.13 = 456.59 : x
  2. Step 2: Convert to fraction form
    976.75/1,465.13 = 456.59/x
  3. Step 3: Cross multiply
    976.75x = 1,465.13 × 456.59
  4. Step 4: Simplify right side
    976.75x = 668,968.51
  5. Step 5: Solve for x
    x = 668,968.51/976.75
  6. Step 6: Final answer
    x = 684.89

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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.