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Finding the Fourth Proportional to 1,399.61, 1,931.47 and 875.54

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Solution

The fourth proportional to 1,399.61, 1,931.47 and 875.54 is: 1,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.61 : 1,931.47 = 875.54 : x
  2. Step 2: Convert to fraction form
    1,399.61/1,931.47 = 875.54/x
  3. Step 3: Cross multiply
    1,399.61x = 1,931.47 × 875.54
  4. Step 4: Simplify right side
    1,399.61x = 1,691,081.88
  5. Step 5: Solve for x
    x = 1,691,081.88/1,399.61
  6. Step 6: Final answer
    x = 1,208.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.