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Finding the Fourth Proportional to 755.41, 1,042.45 and 440.86

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Solution

The fourth proportional to 755.41, 1,042.45 and 440.86 is: 608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.41 : 1,042.45 = 440.86 : x
  2. Step 2: Convert to fraction form
    755.41/1,042.45 = 440.86/x
  3. Step 3: Cross multiply
    755.41x = 1,042.45 × 440.86
  4. Step 4: Simplify right side
    755.41x = 459,574.51
  5. Step 5: Solve for x
    x = 459,574.51/755.41
  6. Step 6: Final answer
    x = 608.38

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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.