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Finding the Fourth Proportional to 783.41, 1,174.19 and 436.58

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Solution

The fourth proportional to 783.41, 1,174.19 and 436.58 is: 654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.41 : 1,174.19 = 436.58 : x
  2. Step 2: Convert to fraction form
    783.41/1,174.19 = 436.58/x
  3. Step 3: Cross multiply
    783.41x = 1,174.19 × 436.58
  4. Step 4: Simplify right side
    783.41x = 512,627.87
  5. Step 5: Solve for x
    x = 512,627.87/783.41
  6. Step 6: Final answer
    x = 654.35

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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.