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Finding the Fourth Proportional to 802.08, 1,106.66 and 465.92

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Solution

The fourth proportional to 802.08, 1,106.66 and 465.92 is: 642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.08 : 1,106.66 = 465.92 : x
  2. Step 2: Convert to fraction form
    802.08/1,106.66 = 465.92/x
  3. Step 3: Cross multiply
    802.08x = 1,106.66 × 465.92
  4. Step 4: Simplify right side
    802.08x = 515,615.03
  5. Step 5: Solve for x
    x = 515,615.03/802.08
  6. Step 6: Final answer
    x = 642.85

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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.