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Finding the Fourth Proportional to 1,171.36, 1,756.54 and 477.55

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Solution

The fourth proportional to 1,171.36, 1,756.54 and 477.55 is: 716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.36 : 1,756.54 = 477.55 : x
  2. Step 2: Convert to fraction form
    1,171.36/1,756.54 = 477.55/x
  3. Step 3: Cross multiply
    1,171.36x = 1,756.54 × 477.55
  4. Step 4: Simplify right side
    1,171.36x = 838,825.90
  5. Step 5: Solve for x
    x = 838,825.90/1,171.36
  6. Step 6: Final answer
    x = 716.11

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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.