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Finding the Fourth Proportional to 736.76, 1,100.38 and 582.86

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Solution

The fourth proportional to 736.76, 1,100.38 and 582.86 is: 870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.76 : 1,100.38 = 582.86 : x
  2. Step 2: Convert to fraction form
    736.76/1,100.38 = 582.86/x
  3. Step 3: Cross multiply
    736.76x = 1,100.38 × 582.86
  4. Step 4: Simplify right side
    736.76x = 641,364.57
  5. Step 5: Solve for x
    x = 641,364.57/736.76
  6. Step 6: Final answer
    x = 870.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.