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Finding the Fourth Proportional to 1,323.84, 1,985.61 and 336.65

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Solution

The fourth proportional to 1,323.84, 1,985.61 and 336.65 is: 504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.84 : 1,985.61 = 336.65 : x
  2. Step 2: Convert to fraction form
    1,323.84/1,985.61 = 336.65/x
  3. Step 3: Cross multiply
    1,323.84x = 1,985.61 × 336.65
  4. Step 4: Simplify right side
    1,323.84x = 668,455.61
  5. Step 5: Solve for x
    x = 668,455.61/1,323.84
  6. Step 6: Final answer
    x = 504.94

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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.