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Finding the Fourth Proportional to 988.92, 1,364.22 and 709.20

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Solution

The fourth proportional to 988.92, 1,364.22 and 709.20 is: 978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.92 : 1,364.22 = 709.20 : x
  2. Step 2: Convert to fraction form
    988.92/1,364.22 = 709.20/x
  3. Step 3: Cross multiply
    988.92x = 1,364.22 × 709.20
  4. Step 4: Simplify right side
    988.92x = 967,504.82
  5. Step 5: Solve for x
    x = 967,504.82/988.92
  6. Step 6: Final answer
    x = 978.34

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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.