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Finding the Fourth Proportional to 920.89, 1,270.48 and 589.26

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Solution

The fourth proportional to 920.89, 1,270.48 and 589.26 is: 812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.89 : 1,270.48 = 589.26 : x
  2. Step 2: Convert to fraction form
    920.89/1,270.48 = 589.26/x
  3. Step 3: Cross multiply
    920.89x = 1,270.48 × 589.26
  4. Step 4: Simplify right side
    920.89x = 748,643.04
  5. Step 5: Solve for x
    x = 748,643.04/920.89
  6. Step 6: Final answer
    x = 812.96

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Double scale
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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.