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Finding the Fourth Proportional to 898.21, 1,346.26 and 508.05

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Solution

The fourth proportional to 898.21, 1,346.26 and 508.05 is: 761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.21 : 1,346.26 = 508.05 : x
  2. Step 2: Convert to fraction form
    898.21/1,346.26 = 508.05/x
  3. Step 3: Cross multiply
    898.21x = 1,346.26 × 508.05
  4. Step 4: Simplify right side
    898.21x = 683,967.39
  5. Step 5: Solve for x
    x = 683,967.39/898.21
  6. Step 6: Final answer
    x = 761.48

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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.