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Finding the Fourth Proportional to 807.57, 1,211.63 and 534.74

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Solution

The fourth proportional to 807.57, 1,211.63 and 534.74 is: 802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.57 : 1,211.63 = 534.74 : x
  2. Step 2: Convert to fraction form
    807.57/1,211.63 = 534.74/x
  3. Step 3: Cross multiply
    807.57x = 1,211.63 × 534.74
  4. Step 4: Simplify right side
    807.57x = 647,898.29
  5. Step 5: Solve for x
    x = 647,898.29/807.57
  6. Step 6: Final answer
    x = 802.28

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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.