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Finding the Fourth Proportional to 1,504.00, 2,075.25 and 840.86

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Solution

The fourth proportional to 1,504.00, 2,075.25 and 840.86 is: 1,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.00 : 2,075.25 = 840.86 : x
  2. Step 2: Convert to fraction form
    1,504.00/2,075.25 = 840.86/x
  3. Step 3: Cross multiply
    1,504.00x = 2,075.25 × 840.86
  4. Step 4: Simplify right side
    1,504.00x = 1,744,995.27
  5. Step 5: Solve for x
    x = 1,744,995.27/1,504.00
  6. Step 6: Final answer
    x = 1,160.24

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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.