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Finding the Fourth Proportional to 920.90, 1,270.79 and 528.05

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Solution

The fourth proportional to 920.90, 1,270.79 and 528.05 is: 728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.90 : 1,270.79 = 528.05 : x
  2. Step 2: Convert to fraction form
    920.90/1,270.79 = 528.05/x
  3. Step 3: Cross multiply
    920.90x = 1,270.79 × 528.05
  4. Step 4: Simplify right side
    920.90x = 671,043.18
  5. Step 5: Solve for x
    x = 671,043.18/920.90
  6. Step 6: Final answer
    x = 728.68

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