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Finding the Fourth Proportional to 941.24, 1,298.76 and 591.68

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Solution

The fourth proportional to 941.24, 1,298.76 and 591.68 is: 816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.24 : 1,298.76 = 591.68 : x
  2. Step 2: Convert to fraction form
    941.24/1,298.76 = 591.68/x
  3. Step 3: Cross multiply
    941.24x = 1,298.76 × 591.68
  4. Step 4: Simplify right side
    941.24x = 768,450.32
  5. Step 5: Solve for x
    x = 768,450.32/941.24
  6. Step 6: Final answer
    x = 816.42

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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.