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Finding the Fourth Proportional to 802.08, 1,106.87 and 565.79

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Solution

The fourth proportional to 802.08, 1,106.87 and 565.79 is: 780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.08 : 1,106.87 = 565.79 : x
  2. Step 2: Convert to fraction form
    802.08/1,106.87 = 565.79/x
  3. Step 3: Cross multiply
    802.08x = 1,106.87 × 565.79
  4. Step 4: Simplify right side
    802.08x = 626,247.61
  5. Step 5: Solve for x
    x = 626,247.61/802.08
  6. Step 6: Final answer
    x = 780.78

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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.