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Finding the Fourth Proportional to 835.84, 1,153.02 and 521.16

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Solution

The fourth proportional to 835.84, 1,153.02 and 521.16 is: 718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.84 : 1,153.02 = 521.16 : x
  2. Step 2: Convert to fraction form
    835.84/1,153.02 = 521.16/x
  3. Step 3: Cross multiply
    835.84x = 1,153.02 × 521.16
  4. Step 4: Simplify right side
    835.84x = 600,907.90
  5. Step 5: Solve for x
    x = 600,907.90/835.84
  6. Step 6: Final answer
    x = 718.93

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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.