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Finding the Fourth Proportional to 813.76, 1,121.52 and 592.36

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Solution

The fourth proportional to 813.76, 1,121.52 and 592.36 is: 816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.76 : 1,121.52 = 592.36 : x
  2. Step 2: Convert to fraction form
    813.76/1,121.52 = 592.36/x
  3. Step 3: Cross multiply
    813.76x = 1,121.52 × 592.36
  4. Step 4: Simplify right side
    813.76x = 664,343.59
  5. Step 5: Solve for x
    x = 664,343.59/813.76
  6. Step 6: Final answer
    x = 816.39

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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.