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Finding the Fourth Proportional to 807.06, 1,210.65 and 395.08

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Solution

The fourth proportional to 807.06, 1,210.65 and 395.08 is: 592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.06 : 1,210.65 = 395.08 : x
  2. Step 2: Convert to fraction form
    807.06/1,210.65 = 395.08/x
  3. Step 3: Cross multiply
    807.06x = 1,210.65 × 395.08
  4. Step 4: Simplify right side
    807.06x = 478,299.09
  5. Step 5: Solve for x
    x = 478,299.09/807.06
  6. Step 6: Final answer
    x = 592.64

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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.