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Finding the Fourth Proportional to 818.55, 1,129.64 and 469.31

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Solution

The fourth proportional to 818.55, 1,129.64 and 469.31 is: 647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.55 : 1,129.64 = 469.31 : x
  2. Step 2: Convert to fraction form
    818.55/1,129.64 = 469.31/x
  3. Step 3: Cross multiply
    818.55x = 1,129.64 × 469.31
  4. Step 4: Simplify right side
    818.55x = 530,146.18
  5. Step 5: Solve for x
    x = 530,146.18/818.55
  6. Step 6: Final answer
    x = 647.66

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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.