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Finding the Fourth Proportional to 1,039.13, 1,435.23 and 758.91

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Solution

The fourth proportional to 1,039.13, 1,435.23 and 758.91 is: 1,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.13 : 1,435.23 = 758.91 : x
  2. Step 2: Convert to fraction form
    1,039.13/1,435.23 = 758.91/x
  3. Step 3: Cross multiply
    1,039.13x = 1,435.23 × 758.91
  4. Step 4: Simplify right side
    1,039.13x = 1,089,210.40
  5. Step 5: Solve for x
    x = 1,089,210.40/1,039.13
  6. Step 6: Final answer
    x = 1,048.20

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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.