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Finding the Fourth Proportional to 802.00, 1,106.87 and 470.41

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Solution

The fourth proportional to 802.00, 1,106.87 and 470.41 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.00 : 1,106.87 = 470.41 : x
  2. Step 2: Convert to fraction form
    802.00/1,106.87 = 470.41/x
  3. Step 3: Cross multiply
    802.00x = 1,106.87 × 470.41
  4. Step 4: Simplify right side
    802.00x = 520,677.60
  5. Step 5: Solve for x
    x = 520,677.60/802.00
  6. Step 6: Final answer
    x = 649.22

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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.