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Finding the Fourth Proportional to 938.36, 1,294.80 and 589.16

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Solution

The fourth proportional to 938.36, 1,294.80 and 589.16 is: 812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.36 : 1,294.80 = 589.16 : x
  2. Step 2: Convert to fraction form
    938.36/1,294.80 = 589.16/x
  3. Step 3: Cross multiply
    938.36x = 1,294.80 × 589.16
  4. Step 4: Simplify right side
    938.36x = 762,844.37
  5. Step 5: Solve for x
    x = 762,844.37/938.36
  6. Step 6: Final answer
    x = 812.95

Related Problems

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Half scale
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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.