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Finding the Fourth Proportional to 897.56, 1,346.80 and 410.73

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Solution

The fourth proportional to 897.56, 1,346.80 and 410.73 is: 616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.56 : 1,346.80 = 410.73 : x
  2. Step 2: Convert to fraction form
    897.56/1,346.80 = 410.73/x
  3. Step 3: Cross multiply
    897.56x = 1,346.80 × 410.73
  4. Step 4: Simplify right side
    897.56x = 553,170.14
  5. Step 5: Solve for x
    x = 553,170.14/897.56
  6. Step 6: Final answer
    x = 616.30

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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.