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Finding the Fourth Proportional to 839.61, 1,157.53 and 708.39

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Solution

The fourth proportional to 839.61, 1,157.53 and 708.39 is: 976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.61 : 1,157.53 = 708.39 : x
  2. Step 2: Convert to fraction form
    839.61/1,157.53 = 708.39/x
  3. Step 3: Cross multiply
    839.61x = 1,157.53 × 708.39
  4. Step 4: Simplify right side
    839.61x = 819,985.57
  5. Step 5: Solve for x
    x = 819,985.57/839.61
  6. Step 6: Final answer
    x = 976.62

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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.