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Finding the Fourth Proportional to 841.94, 1,163.56 and 632.84

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Solution

The fourth proportional to 841.94, 1,163.56 and 632.84 is: 874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.94 : 1,163.56 = 632.84 : x
  2. Step 2: Convert to fraction form
    841.94/1,163.56 = 632.84/x
  3. Step 3: Cross multiply
    841.94x = 1,163.56 × 632.84
  4. Step 4: Simplify right side
    841.94x = 736,347.31
  5. Step 5: Solve for x
    x = 736,347.31/841.94
  6. Step 6: Final answer
    x = 874.58

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