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Finding the Fourth Proportional to 1,084.84, 1,497.30 and 735.64

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Solution

The fourth proportional to 1,084.84, 1,497.30 and 735.64 is: 1,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.84 : 1,497.30 = 735.64 : x
  2. Step 2: Convert to fraction form
    1,084.84/1,497.30 = 735.64/x
  3. Step 3: Cross multiply
    1,084.84x = 1,497.30 × 735.64
  4. Step 4: Simplify right side
    1,084.84x = 1,101,473.77
  5. Step 5: Solve for x
    x = 1,101,473.77/1,084.84
  6. Step 6: Final answer
    x = 1,015.33

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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.