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Finding the Fourth Proportional to 1,503.50, 2,074.87 and 840.47

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Solution

The fourth proportional to 1,503.50, 2,074.87 and 840.47 is: 1,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.50 : 2,074.87 = 840.47 : x
  2. Step 2: Convert to fraction form
    1,503.50/2,074.87 = 840.47/x
  3. Step 3: Cross multiply
    1,503.50x = 2,074.87 × 840.47
  4. Step 4: Simplify right side
    1,503.50x = 1,743,855.61
  5. Step 5: Solve for x
    x = 1,743,855.61/1,503.50
  6. Step 6: Final answer
    x = 1,159.86

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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.