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Finding the Fourth Proportional to 1,504.35, 2,075.87 and 841.28

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Solution

The fourth proportional to 1,504.35, 2,075.87 and 841.28 is: 1,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.35 : 2,075.87 = 841.28 : x
  2. Step 2: Convert to fraction form
    1,504.35/2,075.87 = 841.28/x
  3. Step 3: Cross multiply
    1,504.35x = 2,075.87 × 841.28
  4. Step 4: Simplify right side
    1,504.35x = 1,746,373.33
  5. Step 5: Solve for x
    x = 1,746,373.33/1,504.35
  6. Step 6: Final answer
    x = 1,160.88

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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.