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Finding the Fourth Proportional to 802.19, 1,201.86 and 509.10

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Solution

The fourth proportional to 802.19, 1,201.86 and 509.10 is: 762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.19 : 1,201.86 = 509.10 : x
  2. Step 2: Convert to fraction form
    802.19/1,201.86 = 509.10/x
  3. Step 3: Cross multiply
    802.19x = 1,201.86 × 509.10
  4. Step 4: Simplify right side
    802.19x = 611,866.93
  5. Step 5: Solve for x
    x = 611,866.93/802.19
  6. Step 6: Final answer
    x = 762.75

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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.