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Finding the Fourth Proportional to 1,084.41, 1,496.49 and 587.06

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Solution

The fourth proportional to 1,084.41, 1,496.49 and 587.06 is: 810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.41 : 1,496.49 = 587.06 : x
  2. Step 2: Convert to fraction form
    1,084.41/1,496.49 = 587.06/x
  3. Step 3: Cross multiply
    1,084.41x = 1,496.49 × 587.06
  4. Step 4: Simplify right side
    1,084.41x = 878,526.48
  5. Step 5: Solve for x
    x = 878,526.48/1,084.41
  6. Step 6: Final answer
    x = 810.14

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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.