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Finding the Fourth Proportional to 783.64, 1,177.62 and 736.12

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Solution

The fourth proportional to 783.64, 1,177.62 and 736.12 is: 1,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.64 : 1,177.62 = 736.12 : x
  2. Step 2: Convert to fraction form
    783.64/1,177.62 = 736.12/x
  3. Step 3: Cross multiply
    783.64x = 1,177.62 × 736.12
  4. Step 4: Simplify right side
    783.64x = 866,869.63
  5. Step 5: Solve for x
    x = 866,869.63/783.64
  6. Step 6: Final answer
    x = 1,106.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.