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Finding the Fourth Proportional to 1,533.36, 2,298.54 and 608.61

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Solution

The fourth proportional to 1,533.36, 2,298.54 and 608.61 is: 912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.36 : 2,298.54 = 608.61 : x
  2. Step 2: Convert to fraction form
    1,533.36/2,298.54 = 608.61/x
  3. Step 3: Cross multiply
    1,533.36x = 2,298.54 × 608.61
  4. Step 4: Simplify right side
    1,533.36x = 1,398,914.43
  5. Step 5: Solve for x
    x = 1,398,914.43/1,533.36
  6. Step 6: Final answer
    x = 912.32

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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.