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Finding the Fourth Proportional to 802.89, 1,106.34 and 592.73

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Solution

The fourth proportional to 802.89, 1,106.34 and 592.73 is: 816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.89 : 1,106.34 = 592.73 : x
  2. Step 2: Convert to fraction form
    802.89/1,106.34 = 592.73/x
  3. Step 3: Cross multiply
    802.89x = 1,106.34 × 592.73
  4. Step 4: Simplify right side
    802.89x = 655,760.91
  5. Step 5: Solve for x
    x = 655,760.91/802.89
  6. Step 6: Final answer
    x = 816.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.