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Finding the Fourth Proportional to 1,084.34, 1,497.02 and 835.17

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Solution

The fourth proportional to 1,084.34, 1,497.02 and 835.17 is: 1,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.34 : 1,497.02 = 835.17 : x
  2. Step 2: Convert to fraction form
    1,084.34/1,497.02 = 835.17/x
  3. Step 3: Cross multiply
    1,084.34x = 1,497.02 × 835.17
  4. Step 4: Simplify right side
    1,084.34x = 1,250,262.02
  5. Step 5: Solve for x
    x = 1,250,262.02/1,084.34
  6. Step 6: Final answer
    x = 1,153.02

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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.