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Finding the Fourth Proportional to 920.48, 1,270.14 and 527.48

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Solution

The fourth proportional to 920.48, 1,270.14 and 527.48 is: 727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.48 : 1,270.14 = 527.48 : x
  2. Step 2: Convert to fraction form
    920.48/1,270.14 = 527.48/x
  3. Step 3: Cross multiply
    920.48x = 1,270.14 × 527.48
  4. Step 4: Simplify right side
    920.48x = 669,973.45
  5. Step 5: Solve for x
    x = 669,973.45/920.48
  6. Step 6: Final answer
    x = 727.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.