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Finding the Fourth Proportional to 818.67, 1,129.77 and 538.59

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Solution

The fourth proportional to 818.67, 1,129.77 and 538.59 is: 743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.67 : 1,129.77 = 538.59 : x
  2. Step 2: Convert to fraction form
    818.67/1,129.77 = 538.59/x
  3. Step 3: Cross multiply
    818.67x = 1,129.77 × 538.59
  4. Step 4: Simplify right side
    818.67x = 608,482.82
  5. Step 5: Solve for x
    x = 608,482.82/818.67
  6. Step 6: Final answer
    x = 743.26

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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.