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Finding the Fourth Proportional to 818.37, 1,130.79 and 740.98

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Solution

The fourth proportional to 818.37, 1,130.79 and 740.98 is: 1,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.37 : 1,130.79 = 740.98 : x
  2. Step 2: Convert to fraction form
    818.37/1,130.79 = 740.98/x
  3. Step 3: Cross multiply
    818.37x = 1,130.79 × 740.98
  4. Step 4: Simplify right side
    818.37x = 837,896.97
  5. Step 5: Solve for x
    x = 837,896.97/818.37
  6. Step 6: Final answer
    x = 1,023.86

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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.