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Finding the Fourth Proportional to 898.02, 1,239.84 and 650.16

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Solution

The fourth proportional to 898.02, 1,239.84 and 650.16 is: 897.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.02 : 1,239.84 = 650.16 : x
  2. Step 2: Convert to fraction form
    898.02/1,239.84 = 650.16/x
  3. Step 3: Cross multiply
    898.02x = 1,239.84 × 650.16
  4. Step 4: Simplify right side
    898.02x = 806,094.37
  5. Step 5: Solve for x
    x = 806,094.37/898.02
  6. Step 6: Final answer
    x = 897.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.