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Finding the Fourth Proportional to 976.65, 1,348.48 and 604.14

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Solution

The fourth proportional to 976.65, 1,348.48 and 604.14 is: 834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.65 : 1,348.48 = 604.14 : x
  2. Step 2: Convert to fraction form
    976.65/1,348.48 = 604.14/x
  3. Step 3: Cross multiply
    976.65x = 1,348.48 × 604.14
  4. Step 4: Simplify right side
    976.65x = 814,670.71
  5. Step 5: Solve for x
    x = 814,670.71/976.65
  6. Step 6: Final answer
    x = 834.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.