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Finding the Fourth Proportional to 802.17, 1,106.71 and 465.92

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Solution

The fourth proportional to 802.17, 1,106.71 and 465.92 is: 642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.17 : 1,106.71 = 465.92 : x
  2. Step 2: Convert to fraction form
    802.17/1,106.71 = 465.92/x
  3. Step 3: Cross multiply
    802.17x = 1,106.71 × 465.92
  4. Step 4: Simplify right side
    802.17x = 515,638.40
  5. Step 5: Solve for x
    x = 515,638.40/802.17
  6. Step 6: Final answer
    x = 642.80

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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.