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Finding the Fourth Proportional to 810.64, 1,118.80 and 613.80

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Solution

The fourth proportional to 810.64, 1,118.80 and 613.80 is: 847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.64 : 1,118.80 = 613.80 : x
  2. Step 2: Convert to fraction form
    810.64/1,118.80 = 613.80/x
  3. Step 3: Cross multiply
    810.64x = 1,118.80 × 613.80
  4. Step 4: Simplify right side
    810.64x = 686,719.44
  5. Step 5: Solve for x
    x = 686,719.44/810.64
  6. Step 6: Final answer
    x = 847.13

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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.