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Finding the Fourth Proportional to 1,504.98, 2,077.06 and 841.87

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Solution

The fourth proportional to 1,504.98, 2,077.06 and 841.87 is: 1,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.98 : 2,077.06 = 841.87 : x
  2. Step 2: Convert to fraction form
    1,504.98/2,077.06 = 841.87/x
  3. Step 3: Cross multiply
    1,504.98x = 2,077.06 × 841.87
  4. Step 4: Simplify right side
    1,504.98x = 1,748,614.50
  5. Step 5: Solve for x
    x = 1,748,614.50/1,504.98
  6. Step 6: Final answer
    x = 1,161.89

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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.