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Finding the Fourth Proportional to 818.74, 1,129.84 and 469.41

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Solution

The fourth proportional to 818.74, 1,129.84 and 469.41 is: 647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.74 : 1,129.84 = 469.41 : x
  2. Step 2: Convert to fraction form
    818.74/1,129.84 = 469.41/x
  3. Step 3: Cross multiply
    818.74x = 1,129.84 × 469.41
  4. Step 4: Simplify right side
    818.74x = 530,358.19
  5. Step 5: Solve for x
    x = 530,358.19/818.74
  6. Step 6: Final answer
    x = 647.77

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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.