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Finding the Fourth Proportional to 1,533.31, 2,298.33 and 608.47

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Solution

The fourth proportional to 1,533.31, 2,298.33 and 608.47 is: 912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.31 : 2,298.33 = 608.47 : x
  2. Step 2: Convert to fraction form
    1,533.31/2,298.33 = 608.47/x
  3. Step 3: Cross multiply
    1,533.31x = 2,298.33 × 608.47
  4. Step 4: Simplify right side
    1,533.31x = 1,398,464.86
  5. Step 5: Solve for x
    x = 1,398,464.86/1,533.31
  6. Step 6: Final answer
    x = 912.06

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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.