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Finding the Fourth Proportional to 845.54, 1,160.64 and 750.20

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Solution

The fourth proportional to 845.54, 1,160.64 and 750.20 is: 1,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.54 : 1,160.64 = 750.20 : x
  2. Step 2: Convert to fraction form
    845.54/1,160.64 = 750.20/x
  3. Step 3: Cross multiply
    845.54x = 1,160.64 × 750.20
  4. Step 4: Simplify right side
    845.54x = 870,706.32
  5. Step 5: Solve for x
    x = 870,706.32/845.54
  6. Step 6: Final answer
    x = 1,029.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.