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Finding the Fourth Proportional to 897.80, 1,346.85 and 486.81

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Solution

The fourth proportional to 897.80, 1,346.85 and 486.81 is: 730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.80 : 1,346.85 = 486.81 : x
  2. Step 2: Convert to fraction form
    897.80/1,346.85 = 486.81/x
  3. Step 3: Cross multiply
    897.80x = 1,346.85 × 486.81
  4. Step 4: Simplify right side
    897.80x = 655,660.05
  5. Step 5: Solve for x
    x = 655,660.05/897.80
  6. Step 6: Final answer
    x = 730.30

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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.