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Finding the Fourth Proportional to 802.00, 1,106.54 and 465.78

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Solution

The fourth proportional to 802.00, 1,106.54 and 465.78 is: 642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.00 : 1,106.54 = 465.78 : x
  2. Step 2: Convert to fraction form
    802.00/1,106.54 = 465.78/x
  3. Step 3: Cross multiply
    802.00x = 1,106.54 × 465.78
  4. Step 4: Simplify right side
    802.00x = 515,404.20
  5. Step 5: Solve for x
    x = 515,404.20/802.00
  6. Step 6: Final answer
    x = 642.65

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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.