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Finding the Fourth Proportional to 813.34, 1,122.35 and 477.33

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Solution

The fourth proportional to 813.34, 1,122.35 and 477.33 is: 658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.34 : 1,122.35 = 477.33 : x
  2. Step 2: Convert to fraction form
    813.34/1,122.35 = 477.33/x
  3. Step 3: Cross multiply
    813.34x = 1,122.35 × 477.33
  4. Step 4: Simplify right side
    813.34x = 535,731.33
  5. Step 5: Solve for x
    x = 535,731.33/813.34
  6. Step 6: Final answer
    x = 658.68

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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.