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Finding the Fourth Proportional to 920.33, 1,270.24 and 522.00

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Solution

The fourth proportional to 920.33, 1,270.24 and 522.00 is: 720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.33 : 1,270.24 = 522.00 : x
  2. Step 2: Convert to fraction form
    920.33/1,270.24 = 522.00/x
  3. Step 3: Cross multiply
    920.33x = 1,270.24 × 522.00
  4. Step 4: Simplify right side
    920.33x = 663,071.67
  5. Step 5: Solve for x
    x = 663,071.67/920.33
  6. Step 6: Final answer
    x = 720.47

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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.