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Finding the Fourth Proportional to 818.68, 1,130.74 and 643.80

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Solution

The fourth proportional to 818.68, 1,130.74 and 643.80 is: 889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.68 : 1,130.74 = 643.80 : x
  2. Step 2: Convert to fraction form
    818.68/1,130.74 = 643.80/x
  3. Step 3: Cross multiply
    818.68x = 1,130.74 × 643.80
  4. Step 4: Simplify right side
    818.68x = 727,970.41
  5. Step 5: Solve for x
    x = 727,970.41/818.68
  6. Step 6: Final answer
    x = 889.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.