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Finding the Fourth Proportional to 1,039.37, 1,434.33 and 619.91

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Solution

The fourth proportional to 1,039.37, 1,434.33 and 619.91 is: 855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.37 : 1,434.33 = 619.91 : x
  2. Step 2: Convert to fraction form
    1,039.37/1,434.33 = 619.91/x
  3. Step 3: Cross multiply
    1,039.37x = 1,434.33 × 619.91
  4. Step 4: Simplify right side
    1,039.37x = 889,155.51
  5. Step 5: Solve for x
    x = 889,155.51/1,039.37
  6. Step 6: Final answer
    x = 855.48

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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.