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Finding the Fourth Proportional to 867.83, 1,298.44 and 533.08

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Solution

The fourth proportional to 867.83, 1,298.44 and 533.08 is: 797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.83 : 1,298.44 = 533.08 : x
  2. Step 2: Convert to fraction form
    867.83/1,298.44 = 533.08/x
  3. Step 3: Cross multiply
    867.83x = 1,298.44 × 533.08
  4. Step 4: Simplify right side
    867.83x = 692,174.68
  5. Step 5: Solve for x
    x = 692,174.68/867.83
  6. Step 6: Final answer
    x = 797.60

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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.