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Finding the Fourth Proportional to 818.08, 1,128.77 and 597.15

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Solution

The fourth proportional to 818.08, 1,128.77 and 597.15 is: 823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.08 : 1,128.77 = 597.15 : x
  2. Step 2: Convert to fraction form
    818.08/1,128.77 = 597.15/x
  3. Step 3: Cross multiply
    818.08x = 1,128.77 × 597.15
  4. Step 4: Simplify right side
    818.08x = 674,042.02
  5. Step 5: Solve for x
    x = 674,042.02/818.08
  6. Step 6: Final answer
    x = 823.93

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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.