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Finding the Fourth Proportional to 1,400.37, 1,931.71 and 875.49

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Solution

The fourth proportional to 1,400.37, 1,931.71 and 875.49 is: 1,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.37 : 1,931.71 = 875.49 : x
  2. Step 2: Convert to fraction form
    1,400.37/1,931.71 = 875.49/x
  3. Step 3: Cross multiply
    1,400.37x = 1,931.71 × 875.49
  4. Step 4: Simplify right side
    1,400.37x = 1,691,201.13
  5. Step 5: Solve for x
    x = 1,691,201.13/1,400.37
  6. Step 6: Final answer
    x = 1,207.68

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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.