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Finding the Fourth Proportional to 802.51, 1,107.34 and 470.95

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Solution

The fourth proportional to 802.51, 1,107.34 and 470.95 is: 649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.51 : 1,107.34 = 470.95 : x
  2. Step 2: Convert to fraction form
    802.51/1,107.34 = 470.95/x
  3. Step 3: Cross multiply
    802.51x = 1,107.34 × 470.95
  4. Step 4: Simplify right side
    802.51x = 521,501.77
  5. Step 5: Solve for x
    x = 521,501.77/802.51
  6. Step 6: Final answer
    x = 649.84

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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.