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Finding the Fourth Proportional to 807.58, 1,210.55 and 547.61

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Solution

The fourth proportional to 807.58, 1,210.55 and 547.61 is: 820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.58 : 1,210.55 = 547.61 : x
  2. Step 2: Convert to fraction form
    807.58/1,210.55 = 547.61/x
  3. Step 3: Cross multiply
    807.58x = 1,210.55 × 547.61
  4. Step 4: Simplify right side
    807.58x = 662,909.29
  5. Step 5: Solve for x
    x = 662,909.29/807.58
  6. Step 6: Final answer
    x = 820.86

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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.