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Finding the Fourth Proportional to 976.53, 1,347.66 and 534.45

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Solution

The fourth proportional to 976.53, 1,347.66 and 534.45 is: 737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.53 : 1,347.66 = 534.45 : x
  2. Step 2: Convert to fraction form
    976.53/1,347.66 = 534.45/x
  3. Step 3: Cross multiply
    976.53x = 1,347.66 × 534.45
  4. Step 4: Simplify right side
    976.53x = 720,256.89
  5. Step 5: Solve for x
    x = 720,256.89/976.53
  6. Step 6: Final answer
    x = 737.57

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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.