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Finding the Fourth Proportional to 802.55, 1,106.49 and 658.29

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Solution

The fourth proportional to 802.55, 1,106.49 and 658.29 is: 907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.55 : 1,106.49 = 658.29 : x
  2. Step 2: Convert to fraction form
    802.55/1,106.49 = 658.29/x
  3. Step 3: Cross multiply
    802.55x = 1,106.49 × 658.29
  4. Step 4: Simplify right side
    802.55x = 728,394.07
  5. Step 5: Solve for x
    x = 728,394.07/802.55
  6. Step 6: Final answer
    x = 907.60

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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.