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Finding the Fourth Proportional to 1,504.76, 2,076.03 and 875.06

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Solution

The fourth proportional to 1,504.76, 2,076.03 and 875.06 is: 1,207.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.76 : 2,076.03 = 875.06 : x
  2. Step 2: Convert to fraction form
    1,504.76/2,076.03 = 875.06/x
  3. Step 3: Cross multiply
    1,504.76x = 2,076.03 × 875.06
  4. Step 4: Simplify right side
    1,504.76x = 1,816,640.34
  5. Step 5: Solve for x
    x = 1,816,640.34/1,504.76
  6. Step 6: Final answer
    x = 1,207.26

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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.