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Finding the Fourth Proportional to 847.68, 1,271.52 and 802.56

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Solution

The fourth proportional to 847.68, 1,271.52 and 802.56 is: 1,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.68 : 1,271.52 = 802.56 : x
  2. Step 2: Convert to fraction form
    847.68/1,271.52 = 802.56/x
  3. Step 3: Cross multiply
    847.68x = 1,271.52 × 802.56
  4. Step 4: Simplify right side
    847.68x = 1,020,471.09
  5. Step 5: Solve for x
    x = 1,020,471.09/847.68
  6. Step 6: Final answer
    x = 1,203.84

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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.