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Finding the Fourth Proportional to 920.51, 1,270.33 and 566.32

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Solution

The fourth proportional to 920.51, 1,270.33 and 566.32 is: 781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.51 : 1,270.33 = 566.32 : x
  2. Step 2: Convert to fraction form
    920.51/1,270.33 = 566.32/x
  3. Step 3: Cross multiply
    920.51x = 1,270.33 × 566.32
  4. Step 4: Simplify right side
    920.51x = 719,413.29
  5. Step 5: Solve for x
    x = 719,413.29/920.51
  6. Step 6: Final answer
    x = 781.54

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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.