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Finding the Fourth Proportional to 976.59, 1,347.59 and 556.90

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Solution

The fourth proportional to 976.59, 1,347.59 and 556.90 is: 768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.59 : 1,347.59 = 556.90 : x
  2. Step 2: Convert to fraction form
    976.59/1,347.59 = 556.90/x
  3. Step 3: Cross multiply
    976.59x = 1,347.59 × 556.90
  4. Step 4: Simplify right side
    976.59x = 750,470.89
  5. Step 5: Solve for x
    x = 750,470.89/976.59
  6. Step 6: Final answer
    x = 768.46

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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.