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Finding the Fourth Proportional to 807.36, 1,210.93 and 259.47

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Solution

The fourth proportional to 807.36, 1,210.93 and 259.47 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.36 : 1,210.93 = 259.47 : x
  2. Step 2: Convert to fraction form
    807.36/1,210.93 = 259.47/x
  3. Step 3: Cross multiply
    807.36x = 1,210.93 × 259.47
  4. Step 4: Simplify right side
    807.36x = 314,204.87
  5. Step 5: Solve for x
    x = 314,204.87/807.36
  6. Step 6: Final answer
    x = 389.17

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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.