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Finding the Fourth Proportional to 920.30, 1,270.24 and 527.56

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Solution

The fourth proportional to 920.30, 1,270.24 and 527.56 is: 728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.30 : 1,270.24 = 527.56 : x
  2. Step 2: Convert to fraction form
    920.30/1,270.24 = 527.56/x
  3. Step 3: Cross multiply
    920.30x = 1,270.24 × 527.56
  4. Step 4: Simplify right side
    920.30x = 670,127.81
  5. Step 5: Solve for x
    x = 670,127.81/920.30
  6. Step 6: Final answer
    x = 728.16

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1.5x scale

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.