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Finding the Fourth Proportional to 802.32, 1,107.24 and 470.74

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Solution

The fourth proportional to 802.32, 1,107.24 and 470.74 is: 649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.32 : 1,107.24 = 470.74 : x
  2. Step 2: Convert to fraction form
    802.32/1,107.24 = 470.74/x
  3. Step 3: Cross multiply
    802.32x = 1,107.24 × 470.74
  4. Step 4: Simplify right side
    802.32x = 521,222.16
  5. Step 5: Solve for x
    x = 521,222.16/802.32
  6. Step 6: Final answer
    x = 649.64

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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.