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Finding the Fourth Proportional to 1,504.47, 2,075.92 and 841.22

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Solution

The fourth proportional to 1,504.47, 2,075.92 and 841.22 is: 1,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.47 : 2,075.92 = 841.22 : x
  2. Step 2: Convert to fraction form
    1,504.47/2,075.92 = 841.22/x
  3. Step 3: Cross multiply
    1,504.47x = 2,075.92 × 841.22
  4. Step 4: Simplify right side
    1,504.47x = 1,746,305.42
  5. Step 5: Solve for x
    x = 1,746,305.42/1,504.47
  6. Step 6: Final answer
    x = 1,160.74

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Why These Related Problems?

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