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Finding the Fourth Proportional to 1,323.72, 1,984.34 and 592.89

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Solution

The fourth proportional to 1,323.72, 1,984.34 and 592.89 is: 888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.72 : 1,984.34 = 592.89 : x
  2. Step 2: Convert to fraction form
    1,323.72/1,984.34 = 592.89/x
  3. Step 3: Cross multiply
    1,323.72x = 1,984.34 × 592.89
  4. Step 4: Simplify right side
    1,323.72x = 1,176,492.38
  5. Step 5: Solve for x
    x = 1,176,492.38/1,323.72
  6. Step 6: Final answer
    x = 888.78

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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.