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Finding the Fourth Proportional to 920.40, 1,270.20 and 571

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Solution

The fourth proportional to 920.40, 1,270.20 and 571 is: 788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.40 : 1,270.20 = 571 : x
  2. Step 2: Convert to fraction form
    920.40/1,270.20 = 571/x
  3. Step 3: Cross multiply
    920.40x = 1,270.20 × 571
  4. Step 4: Simplify right side
    920.40x = 725,284.20
  5. Step 5: Solve for x
    x = 725,284.20/920.40
  6. Step 6: Final answer
    x = 788.01

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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.