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Finding the Fourth Proportional to 1,399.48, 1,931.96 and 875.80

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Solution

The fourth proportional to 1,399.48, 1,931.96 and 875.80 is: 1,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.48 : 1,931.96 = 875.80 : x
  2. Step 2: Convert to fraction form
    1,399.48/1,931.96 = 875.80/x
  3. Step 3: Cross multiply
    1,399.48x = 1,931.96 × 875.80
  4. Step 4: Simplify right side
    1,399.48x = 1,692,010.57
  5. Step 5: Solve for x
    x = 1,692,010.57/1,399.48
  6. Step 6: Final answer
    x = 1,209.03

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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.