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Finding the Fourth Proportional to 970.21, 1,338.73 and 616.34

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Solution

The fourth proportional to 970.21, 1,338.73 and 616.34 is: 850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.21 : 1,338.73 = 616.34 : x
  2. Step 2: Convert to fraction form
    970.21/1,338.73 = 616.34/x
  3. Step 3: Cross multiply
    970.21x = 1,338.73 × 616.34
  4. Step 4: Simplify right side
    970.21x = 825,114.65
  5. Step 5: Solve for x
    x = 825,114.65/970.21
  6. Step 6: Final answer
    x = 850.45

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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.