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Finding the Fourth Proportional to 1,285.60, 1,770.24 and 1,097.68

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Solution

The fourth proportional to 1,285.60, 1,770.24 and 1,097.68 is: 1,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.60 : 1,770.24 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    1,285.60/1,770.24 = 1,097.68/x
  3. Step 3: Cross multiply
    1,285.60x = 1,770.24 × 1,097.68
  4. Step 4: Simplify right side
    1,285.60x = 1,943,157.04
  5. Step 5: Solve for x
    x = 1,943,157.04/1,285.60
  6. Step 6: Final answer
    x = 1,511.48

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1.5x scale

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.