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Finding the Fourth Proportional to 864.71, 1,193.20 and 533.06

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Solution

The fourth proportional to 864.71, 1,193.20 and 533.06 is: 735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.71 : 1,193.20 = 533.06 : x
  2. Step 2: Convert to fraction form
    864.71/1,193.20 = 533.06/x
  3. Step 3: Cross multiply
    864.71x = 1,193.20 × 533.06
  4. Step 4: Simplify right side
    864.71x = 636,051.08
  5. Step 5: Solve for x
    x = 636,051.08/864.71
  6. Step 6: Final answer
    x = 735.57

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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.