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Finding the Fourth Proportional to 920.64, 1,270.47 and 527.64

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Solution

The fourth proportional to 920.64, 1,270.47 and 527.64 is: 728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.64 : 1,270.47 = 527.64 : x
  2. Step 2: Convert to fraction form
    920.64/1,270.47 = 527.64/x
  3. Step 3: Cross multiply
    920.64x = 1,270.47 × 527.64
  4. Step 4: Simplify right side
    920.64x = 670,350.79
  5. Step 5: Solve for x
    x = 670,350.79/920.64
  6. Step 6: Final answer
    x = 728.14

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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.