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Finding the Fourth Proportional to 802.07, 1,200.93 and 416.51

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Solution

The fourth proportional to 802.07, 1,200.93 and 416.51 is: 623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.07 : 1,200.93 = 416.51 : x
  2. Step 2: Convert to fraction form
    802.07/1,200.93 = 416.51/x
  3. Step 3: Cross multiply
    802.07x = 1,200.93 × 416.51
  4. Step 4: Simplify right side
    802.07x = 500,198.63
  5. Step 5: Solve for x
    x = 500,198.63/802.07
  6. Step 6: Final answer
    x = 623.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.