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Finding the Fourth Proportional to 898.17, 1,346.77 and 590.19

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Solution

The fourth proportional to 898.17, 1,346.77 and 590.19 is: 884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.17 : 1,346.77 = 590.19 : x
  2. Step 2: Convert to fraction form
    898.17/1,346.77 = 590.19/x
  3. Step 3: Cross multiply
    898.17x = 1,346.77 × 590.19
  4. Step 4: Simplify right side
    898.17x = 794,850.19
  5. Step 5: Solve for x
    x = 794,850.19/898.17
  6. Step 6: Final answer
    x = 884.97

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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.