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Finding the Fourth Proportional to 1,503.57, 2,074.98 and 840.59

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Solution

The fourth proportional to 1,503.57, 2,074.98 and 840.59 is: 1,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.57 : 2,074.98 = 840.59 : x
  2. Step 2: Convert to fraction form
    1,503.57/2,074.98 = 840.59/x
  3. Step 3: Cross multiply
    1,503.57x = 2,074.98 × 840.59
  4. Step 4: Simplify right side
    1,503.57x = 1,744,207.44
  5. Step 5: Solve for x
    x = 1,744,207.44/1,503.57
  6. Step 6: Final answer
    x = 1,160.04

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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.