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Finding the Fourth Proportional to 818.37, 1,127.16 and 707.85

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Solution

The fourth proportional to 818.37, 1,127.16 and 707.85 is: 974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.37 : 1,127.16 = 707.85 : x
  2. Step 2: Convert to fraction form
    818.37/1,127.16 = 707.85/x
  3. Step 3: Cross multiply
    818.37x = 1,127.16 × 707.85
  4. Step 4: Simplify right side
    818.37x = 797,860.21
  5. Step 5: Solve for x
    x = 797,860.21/818.37
  6. Step 6: Final answer
    x = 974.94

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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.