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Finding the Fourth Proportional to 1,021.94, 1,533.16 and 328.61

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Solution

The fourth proportional to 1,021.94, 1,533.16 and 328.61 is: 493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.94 : 1,533.16 = 328.61 : x
  2. Step 2: Convert to fraction form
    1,021.94/1,533.16 = 328.61/x
  3. Step 3: Cross multiply
    1,021.94x = 1,533.16 × 328.61
  4. Step 4: Simplify right side
    1,021.94x = 503,811.71
  5. Step 5: Solve for x
    x = 503,811.71/1,021.94
  6. Step 6: Final answer
    x = 493.00

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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.