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Finding the Fourth Proportional to 783.76, 1,174.86 and 437.25

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Solution

The fourth proportional to 783.76, 1,174.86 and 437.25 is: 655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.76 : 1,174.86 = 437.25 : x
  2. Step 2: Convert to fraction form
    783.76/1,174.86 = 437.25/x
  3. Step 3: Cross multiply
    783.76x = 1,174.86 × 437.25
  4. Step 4: Simplify right side
    783.76x = 513,707.54
  5. Step 5: Solve for x
    x = 513,707.54/783.76
  6. Step 6: Final answer
    x = 655.44

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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.