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Finding the Fourth Proportional to 897.60, 1,346.40 and 806.70

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Solution

The fourth proportional to 897.60, 1,346.40 and 806.70 is: 1,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.60 : 1,346.40 = 806.70 : x
  2. Step 2: Convert to fraction form
    897.60/1,346.40 = 806.70/x
  3. Step 3: Cross multiply
    897.60x = 1,346.40 × 806.70
  4. Step 4: Simplify right side
    897.60x = 1,086,140.88
  5. Step 5: Solve for x
    x = 1,086,140.88/897.60
  6. Step 6: Final answer
    x = 1,210.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.