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Finding the Fourth Proportional to 898.24, 1,346.72 and 556.16

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Solution

The fourth proportional to 898.24, 1,346.72 and 556.16 is: 833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.24 : 1,346.72 = 556.16 : x
  2. Step 2: Convert to fraction form
    898.24/1,346.72 = 556.16/x
  3. Step 3: Cross multiply
    898.24x = 1,346.72 × 556.16
  4. Step 4: Simplify right side
    898.24x = 748,991.80
  5. Step 5: Solve for x
    x = 748,991.80/898.24
  6. Step 6: Final answer
    x = 833.84

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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.