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Finding the Fourth Proportional to 824.70, 1,138.04 and 470.60

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Solution

The fourth proportional to 824.70, 1,138.04 and 470.60 is: 649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.70 : 1,138.04 = 470.60 : x
  2. Step 2: Convert to fraction form
    824.70/1,138.04 = 470.60/x
  3. Step 3: Cross multiply
    824.70x = 1,138.04 × 470.60
  4. Step 4: Simplify right side
    824.70x = 535,561.62
  5. Step 5: Solve for x
    x = 535,561.62/824.70
  6. Step 6: Final answer
    x = 649.40

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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.