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Finding the Fourth Proportional to 852.84, 1,173.64 and 782.96

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Solution

The fourth proportional to 852.84, 1,173.64 and 782.96 is: 1,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.84 : 1,173.64 = 782.96 : x
  2. Step 2: Convert to fraction form
    852.84/1,173.64 = 782.96/x
  3. Step 3: Cross multiply
    852.84x = 1,173.64 × 782.96
  4. Step 4: Simplify right side
    852.84x = 918,913.17
  5. Step 5: Solve for x
    x = 918,913.17/852.84
  6. Step 6: Final answer
    x = 1,077.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.